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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| Autres auteurs: | , |
| Format: | Licensed eBooks |
| Langue: | anglais |
| Publié: |
Cambridge, UK ; New York :
Cambridge University Press,
2004.
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| Collection: | London Mathematical Society lecture note series ;
302. |
| Accès en ligne: | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=120679 |
Table des matières:
- 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.