Solitons /

Solitons / / Boling Guo, Xiao-Feng Pang, Yu-Feng Wang, Nan Liu.

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This book provides an up-to-date overview of mathematical theories and research results on solitons, presenting related mathematical methods and applications as well as numerical experiments. Different types of soliton equations are covered along with their dynamical behaviors and applications from...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018
VerfasserIn:
Guo, Boling,
Liu, Nan,
Pang, Xiao-Feng,
Wang, Yu-Feng,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2018]
©2018
Year of Publication:2018
Language:English
Online Access:
Physical Description:1 online resource (VIII, 368 p.)
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Table of Contents:
  • Frontmatter
  • Contents
  • 1. Introduction
  • 2. Inverse scattering transform
  • 3. Asymptotic behavior to initial value problems for some integrable evolution nonlinear equations
  • 4. Interaction of solitons and its asymptotic properties
  • 5. Hirota method
  • 6. Bäcklund transformations and the infinitely many conservation laws
  • 7. Multi-dimensional solitons and their stability
  • 8. Numerical computation methods for some nonlinear evolution equations
  • 9. The geometric theory of solitons
  • 10. Global existence and blow up for the nonlinear evolution equations
  • 11. The soliton movements of elementary particles in nonlinear quantum field
  • 12. The theory of soliton movement of superconductive features
  • 13. The soliton movements in condensed state systems
  • Bibliography

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