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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Guo, Boling (Autor), Pang, Xiao-Feng, 1945- (Autor), Wang, Yu-Feng (Physics professor) (Autor), Liu, Nan (Physics professor) (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin ; Boston : Walter de Gruyter GmbH, [2018]
Temas:
Solitons.
Wave-motion, Theory of.
Théorie du mouvement ondulatoire.
SCIENCE > Energy.
SCIENCE > Mechanics > General.
SCIENCE > Physics > General.
Soliton
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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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