Discrete and continuous nonlinear Schrödinger systems /

In this book, the detailed mathematical analysis of the scattering theory is presented, soliton solutions are obtained and soliton interactions, both scalar and vector, are analyzed. Many details presented, including aspects of the scattering theory, solution methodology, soliton solutions and vecto...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Ablowitz, Mark J.
Otros Autores: Prinari, B., 1972-, Trubatch, A. D., 1968-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge, UK ; New York : Cambridge University Press, 2004.
Colección:London Mathematical Society lecture note series ; 302.
Temas:
Schrödinger equation.
Nonlinear theories.
Inverse scattering transform.
Équation de Schrödinger.
Théories non linéaires.
Problème inverse de diffusion.
SCIENCE > Waves & Wave Mechanics.
Inverse scattering transform
Nonlinear theories
Schrödinger equation
Equação de schrodinger.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Cover; Series-title; Title; Copyright; Contents; Preface; Chapter 1 Introduction; Chapter 2 Nonlinear Schrödinger equation (NLS); Chapter 3 Integrable discrete nonlinear Schrödinger equation (IDNLS); Chapter 4 Matrix nonlinear Schrödinger equation (MNLS); Chapter 5 Integrable discrete matrix NLS equation (IDMNLS); Appendix A Summation by parts formula; Appendix B Transmission of the Jost function through a localized potential; Appendix C Scattering theory for the discrete Schrödinger equation; Appendix D Nonlinear Schrödinger systems with a potential term.
  • Appendix E NLS systems in the limit of large amplitudesBibliography; Index.

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