Painlevé Equations and Related Topics : : Proceedings of the International Conference, Saint Petersburg, Russia, June 17-23, 2011 / / ed. by Alexander D. Bruno, Alexander B. Batkhin.
This is a proceedings of the international conference "Painlevé Equations and Related Topics" which was taking place at the Euler International Mathematical Institute, a branch of the Saint Petersburg Department of the Steklov Institute of Mathematics of the Russian Academy of Sciences, in...
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Painlevé Equations and Related Topics : Proceedings of the International Conference, Saint Petersburg, Russia, June 17-23, 2011 / ed. by Alexander D. Bruno, Alexander B. Batkhin. Berlin ; Boston : De Gruyter, [2012] ©2012 1 online resource (272 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Proceedings in Mathematics Frontmatter -- Preface -- Contents -- Part I. Plane Power Geometry -- Chapter 1. Plane Power Geometry for One ODE and P1–P6 -- Chapter 2. New Simple Exact Solutions to Equation P6 -- Chapter 3. Convergence of a Formal Solution to an ODE -- Chapter 4. Asymptotic Expansions and Forms of Solutions to P6 -- Chapter 5. Asymptotic Expansions of Solutions to P5 -- Part II. Space Power Geometry -- Chapter 6. Space Power Geometry for one ODE and P1–P4, P6 -- Chapter 7. Elliptic and Periodic Asymptotic Forms of Solutions to P5 -- Chapter 8. Regular Asymptotic Expansions of Solutions to One ODE and P1–P5 -- Part III. Isomondromy Deformations -- Chapter 9. Isomonodromic Deformations on Riemann Surfaces -- Chapter 10. On Birational Darboux Coordinates of Isomonodromic Deformation Equations Phase Space -- Chapter 11. On the Malgrange Isomonodromic Deformations of Nonresonant Irregular Systems -- Chapter 12. Critical behavior of P6 Functions from the Isomonodromy Deformations Approach -- Chapter 13. Isomonodromy Deformation of the Heun Class Equation -- Chapter 14. Isomonodromy Deformations and Hypergeometric-Type Systems -- Chapter 15. A Monodromy Problem Connected with P6 -- Chapter 16. Monodromy Evolving Deformations and Confluent Halphen’s Systems -- Chapter 17. On the Gauge Transformation of the Sixth Painlevé Equation -- Chapter 18. Expansions for Solutions of the Schlesinger Equation at a Singular Point -- Part IV. Painlevé Property -- Chapter 19. Painleve Analysis of Lotka–Volterra Equations -- Chapter 20. Painlevé Test and Briot–Bouquet Systems -- Chapter 21. Solutions of the Chazy System -- Chapter 22. Third-Order Ordinary Differential Equations with the Painlevé Test -- Chapter 23. Analytic Properties of Solutions of a Class of Third-Order Equations with an Irrational Right-Hand Side -- Part V. Other Aspects -- Chapter 24. The Sixth Painlevé Transcendent and Uniformizable Orbifolds -- Chapter 25. On Uniformizable Representation for Abelian Integrals -- Chapter 26. Phase Shift for a Special Solution to the Korteweg–de Vries Equation in the Whitham Zone -- Chapter 27. Fuchsian Reduction of Differential Equations -- Chapter 28. The Voros Coefficient and the Parametric Stokes Phenomenon for the Second Painlevé Equation -- Chapter 29. Integral Symmetry and the Deformed Hypergeometric Equation -- Chapter 30. Integral Symmetries for Confluent Heun Equations and Symmetries of Painlevé Equation P5 -- Chapter 31. From the Tau Function of Painlevé P6 Equation to Moduli Spaces -- Chapter 32. On particular Solutions of q-Painlevé Equations and q-Hypergeometric Equations -- Chapter 33. Derivation of Painlevé Equations by Antiquantization -- Chapter 34. Integral Transformation of Heun’s Equation and Apparent Singularity -- Chapter 35. Painlevé Analysis of Solutions to Some Nonlinear Differential Equations and their Systems Associated with Models of the Random-Matrix Type -- Chapter 36. Reductions on the Lattice and Painlevé Equations P2, P5, P6 -- Comments restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star This is a proceedings of the international conference "Painlevé Equations and Related Topics" which was taking place at the Euler International Mathematical Institute, a branch of the Saint Petersburg Department of the Steklov Institute of Mathematics of the Russian Academy of Sciences, in Saint Petersburg on June 17 to 23, 2011. The survey articles discuss the following topics: General ordinary differential equations Painlevé equations and their generalizations Painlevé property Discrete Painlevé equations Properties of solutions of all mentioned above equations:– Asymptotic forms and asymptotic expansions– Connections of asymptotic forms of a solution near different points– Convergency and asymptotic character of a formal solution– New types of asymptotic forms and asymptotic expansions– Riemann-Hilbert problems– Isomonodromic deformations of linear systems– Symmetries and transformations of solutions– Algebraic solutions Reductions of PDE to Painlevé equations and their generalizations Ordinary Differential Equations systems equivalent to Painlevé equations and their generalizations Applications of the equations and the solutions Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Nov 2021) Painlevé equations Congresses. Painlevé equations Congresses. ODE system. PDE reduction. Painlevé equations. Painlevé property. discrete Painlevé equations. solution properties. MATHEMATICS / Differential Equations / General. bisacsh Ordinary Differential Equation. Painlevé Property. Panilevé Equation. Adjabi, Yasin, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Adjabi, Yasin. Andreeva, Tatsyana K. . Andreeva, Tatsyana K., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Artamonov, Dimitry V. . Artamonov, Dmitry V., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Babich, Mikhail V. Babich, Mikhail V., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Batkhin, Alexander B., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Batkhin, Alexander B., editor. edt http://id.loc.gov/vocabulary/relators/edt Batkhin, Alexander D. Batkhina, Natalia V., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Batkhina, Natalie V. Bibilo, Yuliya P. Bibilo, Yuliya P., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Brezhnev, Yurii V. Brezhnev, Yurii V., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Bruno, Alexander D. Bruno, Alexander D., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Bruno, Alexander D., editor. edt http://id.loc.gov/vocabulary/relators/edt Damianou, Pantelis A. . Damianou, Pantelis A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Garifullin, Rustem N. . Garifullin, Rustem N., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Golubeva, Valentina A. Golubeva, Valentina A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Gontsov, Renat R. Gontsov, Renat R., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Goryuchkina, Irina V. Goryuchkina, Irina V., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Gricuk, Evgenii, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Gromak, Valerii I. Gromak, Valerii, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Guzzetti, Davide, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Guzzetti, Davide. Iwaki, Kohei, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Iwaki, Kohei. Kazakov, Alexander Ya. Kazakov, Alexander Ya., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kessi, Arezki, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kessi, Arezki. Korotkin, Dmitry, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Korotkin, Dmitry. Leksin, Vladimir P. Leksin, Vladimir P., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Martynov, Ivan P. Martynov, Ivan P., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Novikov, Dmitrii P. Novikov, Dmitrii P., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Ohyama, Yousuke, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Ohyama, Yousuke. Parusnikova, Anastasia V., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Parusnikova, Anastasya V. Pronko, Vyacheslav A. Pronko, Vyacheslav A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Sasaki, Yoshikatsu, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Sasaki, Yoshikatsu. Slavyanov, Sergey Yu. . Slavyanov, Sergey Yu., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Takemura, Kouichi, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Takemura, Kouichi. Tsegel'nik, Vladimir. Tsegel’nik, Vladimir, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Vyugin, Ilya V. . Vyugin, Ilya V., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Xenitidis, Pavlos, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Xenitidis, Pavlos. Zograf, Peter, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Zograf, Peter. Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 9783110238570 Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) 9783110238471 Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 9783110637205 ZDB-23-GMA Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2012 9783110288995 ZDB-23-DGG Title is part of eBook package: De Gruyter E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2012 9783110293722 ZDB-23-DMI Title is part of eBook package: De Gruyter E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2012 9783110288926 ZDB-23-DMP print 9783110275582 https://doi.org/10.1515/9783110275667 https://www.degruyter.com/isbn/9783110275667 Cover https://www.degruyter.com/document/cover/isbn/9783110275667/original |
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author2 |
Adjabi, Yasin, Adjabi, Yasin, Adjabi, Yasin. Andreeva, Tatsyana K. . Andreeva, Tatsyana K., Andreeva, Tatsyana K., Artamonov, Dimitry V. . Artamonov, Dmitry V., Artamonov, Dmitry V., Babich, Mikhail V. Babich, Mikhail V., Babich, Mikhail V., Batkhin, Alexander B., Batkhin, Alexander B., Batkhin, Alexander B., Batkhin, Alexander B., Batkhin, Alexander D. Batkhina, Natalia V., Batkhina, Natalia V., Batkhina, Natalie V. Bibilo, Yuliya P. Bibilo, Yuliya P., Bibilo, Yuliya P., Brezhnev, Yurii V. Brezhnev, Yurii V., Brezhnev, Yurii V., Bruno, Alexander D. Bruno, Alexander D., Bruno, Alexander D., Bruno, Alexander D., Bruno, Alexander D., Damianou, Pantelis A. . Damianou, Pantelis A., Damianou, Pantelis A., Garifullin, Rustem N. . Garifullin, Rustem N., Garifullin, Rustem N., Golubeva, Valentina A. Golubeva, Valentina A., Golubeva, Valentina A., Gontsov, Renat R. Gontsov, Renat R., Gontsov, Renat R., Goryuchkina, Irina V. Goryuchkina, Irina V., Goryuchkina, Irina V., Gricuk, Evgenii, Gricuk, Evgenii, Gromak, Valerii I. Gromak, Valerii, Gromak, Valerii, Guzzetti, Davide, Guzzetti, Davide, Guzzetti, Davide. Iwaki, Kohei, Iwaki, Kohei, Iwaki, Kohei. Kazakov, Alexander Ya. Kazakov, Alexander Ya., Kazakov, Alexander Ya., Kessi, Arezki, Kessi, Arezki, Kessi, Arezki. Korotkin, Dmitry, Korotkin, Dmitry, Korotkin, Dmitry. Leksin, Vladimir P. Leksin, Vladimir P., Leksin, Vladimir P., Martynov, Ivan P. Martynov, Ivan P., Martynov, Ivan P., Novikov, Dmitrii P. Novikov, Dmitrii P., Novikov, Dmitrii P., Ohyama, Yousuke, Ohyama, Yousuke, Ohyama, Yousuke. Parusnikova, Anastasia V., Parusnikova, Anastasia V., Parusnikova, Anastasya V. Pronko, Vyacheslav A. Pronko, Vyacheslav A., Pronko, Vyacheslav A., Sasaki, Yoshikatsu, Sasaki, Yoshikatsu, Sasaki, Yoshikatsu. Slavyanov, Sergey Yu. . Slavyanov, Sergey Yu., Slavyanov, Sergey Yu., Takemura, Kouichi, Takemura, Kouichi, Takemura, Kouichi. Tsegel'nik, Vladimir. Tsegel’nik, Vladimir, Tsegel’nik, Vladimir, Vyugin, Ilya V. . Vyugin, Ilya V., Vyugin, Ilya V., Xenitidis, Pavlos, Xenitidis, Pavlos, Xenitidis, Pavlos. Zograf, Peter, Zograf, Peter, Zograf, Peter. |
author_facet |
Adjabi, Yasin, Adjabi, Yasin, Adjabi, Yasin. Andreeva, Tatsyana K. . Andreeva, Tatsyana K., Andreeva, Tatsyana K., Artamonov, Dimitry V. . Artamonov, Dmitry V., Artamonov, Dmitry V., Babich, Mikhail V. Babich, Mikhail V., Babich, Mikhail V., Batkhin, Alexander B., Batkhin, Alexander B., Batkhin, Alexander B., Batkhin, Alexander B., Batkhin, Alexander D. Batkhina, Natalia V., Batkhina, Natalia V., Batkhina, Natalie V. Bibilo, Yuliya P. Bibilo, Yuliya P., Bibilo, Yuliya P., Brezhnev, Yurii V. Brezhnev, Yurii V., Brezhnev, Yurii V., Bruno, Alexander D. Bruno, Alexander D., Bruno, Alexander D., Bruno, Alexander D., Bruno, Alexander D., Damianou, Pantelis A. . Damianou, Pantelis A., Damianou, Pantelis A., Garifullin, Rustem N. . Garifullin, Rustem N., Garifullin, Rustem N., Golubeva, Valentina A. Golubeva, Valentina A., Golubeva, Valentina A., Gontsov, Renat R. Gontsov, Renat R., Gontsov, Renat R., Goryuchkina, Irina V. Goryuchkina, Irina V., Goryuchkina, Irina V., Gricuk, Evgenii, Gricuk, Evgenii, Gromak, Valerii I. Gromak, Valerii, Gromak, Valerii, Guzzetti, Davide, Guzzetti, Davide, Guzzetti, Davide. Iwaki, Kohei, Iwaki, Kohei, Iwaki, Kohei. Kazakov, Alexander Ya. Kazakov, Alexander Ya., Kazakov, Alexander Ya., Kessi, Arezki, Kessi, Arezki, Kessi, Arezki. Korotkin, Dmitry, Korotkin, Dmitry, Korotkin, Dmitry. Leksin, Vladimir P. Leksin, Vladimir P., Leksin, Vladimir P., Martynov, Ivan P. Martynov, Ivan P., Martynov, Ivan P., Novikov, Dmitrii P. Novikov, Dmitrii P., Novikov, Dmitrii P., Ohyama, Yousuke, Ohyama, Yousuke, Ohyama, Yousuke. Parusnikova, Anastasia V., Parusnikova, Anastasia V., Parusnikova, Anastasya V. Pronko, Vyacheslav A. Pronko, Vyacheslav A., Pronko, Vyacheslav A., Sasaki, Yoshikatsu, Sasaki, Yoshikatsu, Sasaki, Yoshikatsu. Slavyanov, Sergey Yu. . Slavyanov, Sergey Yu., Slavyanov, Sergey Yu., Takemura, Kouichi, Takemura, Kouichi, Takemura, Kouichi. Tsegel'nik, Vladimir. Tsegel’nik, Vladimir, Tsegel’nik, Vladimir, Vyugin, Ilya V. . Vyugin, Ilya V., Vyugin, Ilya V., Xenitidis, Pavlos, Xenitidis, Pavlos, Xenitidis, Pavlos. Zograf, Peter, Zograf, Peter, Zograf, Peter. |
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Adjabi, Yasin, |
title |
Painlevé Equations and Related Topics : Proceedings of the International Conference, Saint Petersburg, Russia, June 17-23, 2011 / |
spellingShingle |
Painlevé Equations and Related Topics : Proceedings of the International Conference, Saint Petersburg, Russia, June 17-23, 2011 / De Gruyter Proceedings in Mathematics Frontmatter -- Preface -- Contents -- Part I. Plane Power Geometry -- Chapter 1. Plane Power Geometry for One ODE and P1–P6 -- Chapter 2. New Simple Exact Solutions to Equation P6 -- Chapter 3. Convergence of a Formal Solution to an ODE -- Chapter 4. Asymptotic Expansions and Forms of Solutions to P6 -- Chapter 5. Asymptotic Expansions of Solutions to P5 -- Part II. Space Power Geometry -- Chapter 6. Space Power Geometry for one ODE and P1–P4, P6 -- Chapter 7. Elliptic and Periodic Asymptotic Forms of Solutions to P5 -- Chapter 8. Regular Asymptotic Expansions of Solutions to One ODE and P1–P5 -- Part III. Isomondromy Deformations -- Chapter 9. Isomonodromic Deformations on Riemann Surfaces -- Chapter 10. On Birational Darboux Coordinates of Isomonodromic Deformation Equations Phase Space -- Chapter 11. On the Malgrange Isomonodromic Deformations of Nonresonant Irregular Systems -- Chapter 12. Critical behavior of P6 Functions from the Isomonodromy Deformations Approach -- Chapter 13. Isomonodromy Deformation of the Heun Class Equation -- Chapter 14. Isomonodromy Deformations and Hypergeometric-Type Systems -- Chapter 15. A Monodromy Problem Connected with P6 -- Chapter 16. Monodromy Evolving Deformations and Confluent Halphen’s Systems -- Chapter 17. On the Gauge Transformation of the Sixth Painlevé Equation -- Chapter 18. Expansions for Solutions of the Schlesinger Equation at a Singular Point -- Part IV. Painlevé Property -- Chapter 19. Painleve Analysis of Lotka–Volterra Equations -- Chapter 20. Painlevé Test and Briot–Bouquet Systems -- Chapter 21. Solutions of the Chazy System -- Chapter 22. Third-Order Ordinary Differential Equations with the Painlevé Test -- Chapter 23. Analytic Properties of Solutions of a Class of Third-Order Equations with an Irrational Right-Hand Side -- Part V. Other Aspects -- Chapter 24. The Sixth Painlevé Transcendent and Uniformizable Orbifolds -- Chapter 25. On Uniformizable Representation for Abelian Integrals -- Chapter 26. Phase Shift for a Special Solution to the Korteweg–de Vries Equation in the Whitham Zone -- Chapter 27. Fuchsian Reduction of Differential Equations -- Chapter 28. The Voros Coefficient and the Parametric Stokes Phenomenon for the Second Painlevé Equation -- Chapter 29. Integral Symmetry and the Deformed Hypergeometric Equation -- Chapter 30. Integral Symmetries for Confluent Heun Equations and Symmetries of Painlevé Equation P5 -- Chapter 31. From the Tau Function of Painlevé P6 Equation to Moduli Spaces -- Chapter 32. On particular Solutions of q-Painlevé Equations and q-Hypergeometric Equations -- Chapter 33. Derivation of Painlevé Equations by Antiquantization -- Chapter 34. Integral Transformation of Heun’s Equation and Apparent Singularity -- Chapter 35. Painlevé Analysis of Solutions to Some Nonlinear Differential Equations and their Systems Associated with Models of the Random-Matrix Type -- Chapter 36. Reductions on the Lattice and Painlevé Equations P2, P5, P6 -- Comments |
title_sub |
Proceedings of the International Conference, Saint Petersburg, Russia, June 17-23, 2011 / |
title_full |
Painlevé Equations and Related Topics : Proceedings of the International Conference, Saint Petersburg, Russia, June 17-23, 2011 / ed. by Alexander D. Bruno, Alexander B. Batkhin. |
title_fullStr |
Painlevé Equations and Related Topics : Proceedings of the International Conference, Saint Petersburg, Russia, June 17-23, 2011 / ed. by Alexander D. Bruno, Alexander B. Batkhin. |
title_full_unstemmed |
Painlevé Equations and Related Topics : Proceedings of the International Conference, Saint Petersburg, Russia, June 17-23, 2011 / ed. by Alexander D. Bruno, Alexander B. Batkhin. |
title_auth |
Painlevé Equations and Related Topics : Proceedings of the International Conference, Saint Petersburg, Russia, June 17-23, 2011 / |
title_alt |
Frontmatter -- Preface -- Contents -- Part I. Plane Power Geometry -- Chapter 1. Plane Power Geometry for One ODE and P1–P6 -- Chapter 2. New Simple Exact Solutions to Equation P6 -- Chapter 3. Convergence of a Formal Solution to an ODE -- Chapter 4. Asymptotic Expansions and Forms of Solutions to P6 -- Chapter 5. Asymptotic Expansions of Solutions to P5 -- Part II. Space Power Geometry -- Chapter 6. Space Power Geometry for one ODE and P1–P4, P6 -- Chapter 7. Elliptic and Periodic Asymptotic Forms of Solutions to P5 -- Chapter 8. Regular Asymptotic Expansions of Solutions to One ODE and P1–P5 -- Part III. Isomondromy Deformations -- Chapter 9. Isomonodromic Deformations on Riemann Surfaces -- Chapter 10. On Birational Darboux Coordinates of Isomonodromic Deformation Equations Phase Space -- Chapter 11. On the Malgrange Isomonodromic Deformations of Nonresonant Irregular Systems -- Chapter 12. Critical behavior of P6 Functions from the Isomonodromy Deformations Approach -- Chapter 13. Isomonodromy Deformation of the Heun Class Equation -- Chapter 14. Isomonodromy Deformations and Hypergeometric-Type Systems -- Chapter 15. A Monodromy Problem Connected with P6 -- Chapter 16. Monodromy Evolving Deformations and Confluent Halphen’s Systems -- Chapter 17. On the Gauge Transformation of the Sixth Painlevé Equation -- Chapter 18. Expansions for Solutions of the Schlesinger Equation at a Singular Point -- Part IV. Painlevé Property -- Chapter 19. Painleve Analysis of Lotka–Volterra Equations -- Chapter 20. Painlevé Test and Briot–Bouquet Systems -- Chapter 21. Solutions of the Chazy System -- Chapter 22. Third-Order Ordinary Differential Equations with the Painlevé Test -- Chapter 23. Analytic Properties of Solutions of a Class of Third-Order Equations with an Irrational Right-Hand Side -- Part V. Other Aspects -- Chapter 24. The Sixth Painlevé Transcendent and Uniformizable Orbifolds -- Chapter 25. On Uniformizable Representation for Abelian Integrals -- Chapter 26. Phase Shift for a Special Solution to the Korteweg–de Vries Equation in the Whitham Zone -- Chapter 27. Fuchsian Reduction of Differential Equations -- Chapter 28. The Voros Coefficient and the Parametric Stokes Phenomenon for the Second Painlevé Equation -- Chapter 29. Integral Symmetry and the Deformed Hypergeometric Equation -- Chapter 30. Integral Symmetries for Confluent Heun Equations and Symmetries of Painlevé Equation P5 -- Chapter 31. From the Tau Function of Painlevé P6 Equation to Moduli Spaces -- Chapter 32. On particular Solutions of q-Painlevé Equations and q-Hypergeometric Equations -- Chapter 33. Derivation of Painlevé Equations by Antiquantization -- Chapter 34. Integral Transformation of Heun’s Equation and Apparent Singularity -- Chapter 35. Painlevé Analysis of Solutions to Some Nonlinear Differential Equations and their Systems Associated with Models of the Random-Matrix Type -- Chapter 36. Reductions on the Lattice and Painlevé Equations P2, P5, P6 -- Comments |
title_new |
Painlevé Equations and Related Topics : |
title_sort |
painlevé equations and related topics : proceedings of the international conference, saint petersburg, russia, june 17-23, 2011 / |
series |
De Gruyter Proceedings in Mathematics |
series2 |
De Gruyter Proceedings in Mathematics |
publisher |
De Gruyter, |
publishDate |
2012 |
physical |
1 online resource (272 p.) |
contents |
Frontmatter -- Preface -- Contents -- Part I. Plane Power Geometry -- Chapter 1. Plane Power Geometry for One ODE and P1–P6 -- Chapter 2. New Simple Exact Solutions to Equation P6 -- Chapter 3. Convergence of a Formal Solution to an ODE -- Chapter 4. Asymptotic Expansions and Forms of Solutions to P6 -- Chapter 5. Asymptotic Expansions of Solutions to P5 -- Part II. Space Power Geometry -- Chapter 6. Space Power Geometry for one ODE and P1–P4, P6 -- Chapter 7. Elliptic and Periodic Asymptotic Forms of Solutions to P5 -- Chapter 8. Regular Asymptotic Expansions of Solutions to One ODE and P1–P5 -- Part III. Isomondromy Deformations -- Chapter 9. Isomonodromic Deformations on Riemann Surfaces -- Chapter 10. On Birational Darboux Coordinates of Isomonodromic Deformation Equations Phase Space -- Chapter 11. On the Malgrange Isomonodromic Deformations of Nonresonant Irregular Systems -- Chapter 12. Critical behavior of P6 Functions from the Isomonodromy Deformations Approach -- Chapter 13. Isomonodromy Deformation of the Heun Class Equation -- Chapter 14. Isomonodromy Deformations and Hypergeometric-Type Systems -- Chapter 15. A Monodromy Problem Connected with P6 -- Chapter 16. Monodromy Evolving Deformations and Confluent Halphen’s Systems -- Chapter 17. On the Gauge Transformation of the Sixth Painlevé Equation -- Chapter 18. Expansions for Solutions of the Schlesinger Equation at a Singular Point -- Part IV. Painlevé Property -- Chapter 19. Painleve Analysis of Lotka–Volterra Equations -- Chapter 20. Painlevé Test and Briot–Bouquet Systems -- Chapter 21. Solutions of the Chazy System -- Chapter 22. Third-Order Ordinary Differential Equations with the Painlevé Test -- Chapter 23. Analytic Properties of Solutions of a Class of Third-Order Equations with an Irrational Right-Hand Side -- Part V. Other Aspects -- Chapter 24. The Sixth Painlevé Transcendent and Uniformizable Orbifolds -- Chapter 25. On Uniformizable Representation for Abelian Integrals -- Chapter 26. Phase Shift for a Special Solution to the Korteweg–de Vries Equation in the Whitham Zone -- Chapter 27. Fuchsian Reduction of Differential Equations -- Chapter 28. The Voros Coefficient and the Parametric Stokes Phenomenon for the Second Painlevé Equation -- Chapter 29. Integral Symmetry and the Deformed Hypergeometric Equation -- Chapter 30. Integral Symmetries for Confluent Heun Equations and Symmetries of Painlevé Equation P5 -- Chapter 31. From the Tau Function of Painlevé P6 Equation to Moduli Spaces -- Chapter 32. On particular Solutions of q-Painlevé Equations and q-Hypergeometric Equations -- Chapter 33. Derivation of Painlevé Equations by Antiquantization -- Chapter 34. Integral Transformation of Heun’s Equation and Apparent Singularity -- Chapter 35. Painlevé Analysis of Solutions to Some Nonlinear Differential Equations and their Systems Associated with Models of the Random-Matrix Type -- Chapter 36. Reductions on the Lattice and Painlevé Equations P2, P5, P6 -- Comments |
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9783110275667 9783110238570 9783110238471 9783110637205 9783110288995 9783110293722 9783110288926 9783110275582 |
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Q - Science |
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QA372 |
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QA 3372 P336 42012 |
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Congresses. |
url |
https://doi.org/10.1515/9783110275667 https://www.degruyter.com/isbn/9783110275667 https://www.degruyter.com/document/cover/isbn/9783110275667/original |
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Not Illustrated |
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500 - Science |
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510 - Mathematics |
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3515 3352 |
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Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2012 Title is part of eBook package: De Gruyter E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2012 Title is part of eBook package: De Gruyter E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2012 |
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Painlevé Equations and Related Topics : Proceedings of the International Conference, Saint Petersburg, Russia, June 17-23, 2011 / |
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Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 |
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Bruno, Alexander B. Batkhin.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin ;</subfield><subfield code="a">Boston : </subfield><subfield code="b">De Gruyter, </subfield><subfield code="c">[2012]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©2012</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (272 p.)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="347" ind1=" " ind2=" "><subfield code="a">text file</subfield><subfield code="b">PDF</subfield><subfield code="2">rda</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">De Gruyter Proceedings in Mathematics</subfield></datafield><datafield tag="505" ind1="0" ind2="0"><subfield code="t">Frontmatter -- </subfield><subfield code="t">Preface -- </subfield><subfield code="t">Contents -- </subfield><subfield code="t">Part I. Plane Power Geometry -- </subfield><subfield code="t">Chapter 1. Plane Power Geometry for One ODE and P1–P6 -- </subfield><subfield code="t">Chapter 2. New Simple Exact Solutions to Equation P6 -- </subfield><subfield code="t">Chapter 3. Convergence of a Formal Solution to an ODE -- </subfield><subfield code="t">Chapter 4. Asymptotic Expansions and Forms of Solutions to P6 -- </subfield><subfield code="t">Chapter 5. Asymptotic Expansions of Solutions to P5 -- </subfield><subfield code="t">Part II. Space Power Geometry -- </subfield><subfield code="t">Chapter 6. Space Power Geometry for one ODE and P1–P4, P6 -- </subfield><subfield code="t">Chapter 7. Elliptic and Periodic Asymptotic Forms of Solutions to P5 -- </subfield><subfield code="t">Chapter 8. Regular Asymptotic Expansions of Solutions to One ODE and P1–P5 -- </subfield><subfield code="t">Part III. Isomondromy Deformations -- </subfield><subfield code="t">Chapter 9. Isomonodromic Deformations on Riemann Surfaces -- </subfield><subfield code="t">Chapter 10. On Birational Darboux Coordinates of Isomonodromic Deformation Equations Phase Space -- </subfield><subfield code="t">Chapter 11. On the Malgrange Isomonodromic Deformations of Nonresonant Irregular Systems -- </subfield><subfield code="t">Chapter 12. Critical behavior of P6 Functions from the Isomonodromy Deformations Approach -- </subfield><subfield code="t">Chapter 13. Isomonodromy Deformation of the Heun Class Equation -- </subfield><subfield code="t">Chapter 14. Isomonodromy Deformations and Hypergeometric-Type Systems -- </subfield><subfield code="t">Chapter 15. A Monodromy Problem Connected with P6 -- </subfield><subfield code="t">Chapter 16. Monodromy Evolving Deformations and Confluent Halphen’s Systems -- </subfield><subfield code="t">Chapter 17. On the Gauge Transformation of the Sixth Painlevé Equation -- </subfield><subfield code="t">Chapter 18. Expansions for Solutions of the Schlesinger Equation at a Singular Point -- </subfield><subfield code="t">Part IV. Painlevé Property -- </subfield><subfield code="t">Chapter 19. Painleve Analysis of Lotka–Volterra Equations -- </subfield><subfield code="t">Chapter 20. Painlevé Test and Briot–Bouquet Systems -- </subfield><subfield code="t">Chapter 21. Solutions of the Chazy System -- </subfield><subfield code="t">Chapter 22. Third-Order Ordinary Differential Equations with the Painlevé Test -- </subfield><subfield code="t">Chapter 23. Analytic Properties of Solutions of a Class of Third-Order Equations with an Irrational Right-Hand Side -- </subfield><subfield code="t">Part V. Other Aspects -- </subfield><subfield code="t">Chapter 24. The Sixth Painlevé Transcendent and Uniformizable Orbifolds -- </subfield><subfield code="t">Chapter 25. On Uniformizable Representation for Abelian Integrals -- </subfield><subfield code="t">Chapter 26. Phase Shift for a Special Solution to the Korteweg–de Vries Equation in the Whitham Zone -- </subfield><subfield code="t">Chapter 27. Fuchsian Reduction of Differential Equations -- </subfield><subfield code="t">Chapter 28. The Voros Coefficient and the Parametric Stokes Phenomenon for the Second Painlevé Equation -- </subfield><subfield code="t">Chapter 29. Integral Symmetry and the Deformed Hypergeometric Equation -- </subfield><subfield code="t">Chapter 30. Integral Symmetries for Confluent Heun Equations and Symmetries of Painlevé Equation P5 -- </subfield><subfield code="t">Chapter 31. From the Tau Function of Painlevé P6 Equation to Moduli Spaces -- </subfield><subfield code="t">Chapter 32. On particular Solutions of q-Painlevé Equations and q-Hypergeometric Equations -- </subfield><subfield code="t">Chapter 33. Derivation of Painlevé Equations by Antiquantization -- </subfield><subfield code="t">Chapter 34. Integral Transformation of Heun’s Equation and Apparent Singularity -- </subfield><subfield code="t">Chapter 35. Painlevé Analysis of Solutions to Some Nonlinear Differential Equations and their Systems Associated with Models of the Random-Matrix Type -- </subfield><subfield code="t">Chapter 36. Reductions on the Lattice and Painlevé Equations P2, P5, P6 -- </subfield><subfield code="t">Comments</subfield></datafield><datafield tag="506" ind1="0" ind2=" "><subfield code="a">restricted access</subfield><subfield code="u">http://purl.org/coar/access_right/c_16ec</subfield><subfield code="f">online access with authorization</subfield><subfield code="2">star</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This is a proceedings of the international conference "Painlevé Equations and Related Topics" which was taking place at the Euler International Mathematical Institute, a branch of the Saint Petersburg Department of the Steklov Institute of Mathematics of the Russian Academy of Sciences, in Saint Petersburg on June 17 to 23, 2011. The survey articles discuss the following topics: General ordinary differential equations Painlevé equations and their generalizations Painlevé property Discrete Painlevé equations Properties of solutions of all mentioned above equations:– Asymptotic forms and asymptotic expansions– Connections of asymptotic forms of a solution near different points– Convergency and asymptotic character of a formal solution– New types of asymptotic forms and asymptotic expansions– Riemann-Hilbert problems– Isomonodromic deformations of linear systems– Symmetries and transformations of solutions– Algebraic solutions Reductions of PDE to Painlevé equations and their generalizations Ordinary Differential Equations systems equivalent to Painlevé equations and their generalizations Applications of the equations and the solutions</subfield></datafield><datafield tag="538" ind1=" " ind2=" "><subfield code="a">Mode of access: Internet via World Wide Web.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Nov 2021)</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Painlevé equations</subfield><subfield code="v">Congresses.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Painlevé equations</subfield><subfield code="v">Congresses.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">ODE system.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">PDE reduction.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Painlevé equations.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Painlevé property.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">discrete Painlevé equations.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">solution properties.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Differential 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