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Discrete and continuous nonlinear Schrödinger systems / M.J. Ablowitz, B. Prinari, A.D. Trubatch.

By: Contributor(s): Material type: TextTextSeries: London Mathematical Society lecture note series ; 302.Publication details: Cambridge, UK ; New York : Cambridge University Press, 2004.Description: 1 online resource (ix, 257 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 0511065574
  • 9780511065576
  • 9780511546709
  • 051154670X
  • 9780511067709
  • 0511067704
Subject(s): Genre/Form: Additional physical formats: Print version:: Discrete and continuous nonlinear Schrödinger systems.DDC classification:
  • 530.12/4 22
LOC classification:
  • QC174.26.W28 A26 2004eb
Other classification:
  • 31.44
Online resources:
Contents:
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.
Summary: 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 vector soliton interactions are not available in the previously-published literature.
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Includes bibliographical references (pages 243-254) and index.

Print version record.

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.

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 vector soliton interactions are not available in the previously-published literature.

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