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.

• Superior document: Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
• MitwirkendeR: Adjabi, Yasin,; Andreeva, Tatsyana K.,; Artamonov, Dmitry V.,; Babich, Mikhail V.,; Batkhin, Alexander B.,; Batkhina, Natalia V.,; Bibilo, Yuliya P.,; Brezhnev, Yurii V.,; Bruno, Alexander D.,; Damianou, Pantelis A.,; Garifullin, Rustem N.,; Golubeva, Valentina A.,; Gontsov, Renat R.,; Goryuchkina, Irina V.,; Gricuk, Evgenii,; Gromak, Valerii,; Guzzetti, Davide,; Iwaki, Kohei,; Kazakov, Alexander Ya.,; Kessi, Arezki,; Korotkin, Dmitry,; Leksin, Vladimir P.,; Martynov, Ivan P.,; Novikov, Dmitrii P.,; Ohyama, Yousuke,; Parusnikova, Anastasia V.,; Pronko, Vyacheslav A.,; Sasaki, Yoshikatsu,; Slavyanov, Sergey Yu.,; Takemura, Kouichi,; Tsegel’nik, Vladimir,; Vyugin, Ilya V.,; Xenitidis, Pavlos,; Zograf, Peter,
• TeilnehmendeR: Adjabi, Yasin.; Andreeva, Tatsyana K. .; Artamonov, Dimitry V. .; Babich, Mikhail V.; Batkhin, Alexander D.; Batkhina, Natalie V.; Bibilo, Yuliya P.; Brezhnev, Yurii V.; Bruno, Alexander D.; Damianou, Pantelis A. .; Garifullin, Rustem N. .; Golubeva, Valentina A.; Gontsov, Renat R.; Goryuchkina, Irina V.; Gromak, Valerii I.; Guzzetti, Davide.; Iwaki, Kohei.; Kazakov, Alexander Ya.; Kessi, Arezki.; Korotkin, Dmitry.; Leksin, Vladimir P.; Martynov, Ivan P.; Novikov, Dmitrii P.; Ohyama, Yousuke.; Parusnikova, Anastasya V.; Pronko, Vyacheslav A.; Sasaki, Yoshikatsu.; Slavyanov, Sergey Yu. .; Takemura, Kouichi.; Tsegel'nik, Vladimir.; Vyugin, Ilya V. .; Xenitidis, Pavlos.; Zograf, Peter.
• HerausgeberIn: Batkhin, Alexander B.,; Bruno, Alexander D.,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2012]; ©2012
• Year of Publication: 2012
• Language: English
• Series: De Gruyter Proceedings in Mathematics
• Physical Description: 1 online resource (272 p.)

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...

Table of 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