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Book Cover
Author Ablowitz, Mark J.

Title Discrete and continuous nonlinear Schrödinger systems / M.J. Ablowitz, B. Prinari, A.D. Trubatch
Published Cambridge, UK ; New York : Cambridge University Press, 2004
Online access available from:
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Description 1 online resource (ix, 257 pages) : illustrations
Series London Mathematical Society lecture note series ; 302
London Mathematical Society lecture note series ; 302
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
Bibliography Includes bibliographical references (pages 243-254) and index
Notes Print version record
Subject Inverse scattering transform.
Nonlinear theories.
Schrödinger equation.
Form Electronic book
Author Prinari, B., 1972-
Trubatch, A. D., 1968-
ISBN 0511065574 (electronic bk.)
0511067704 (electronic bk.)
051154670X (electronic bk.)
9780511065576 (electronic bk.)
9780511067709 (electronic bk.)
9780511546709 (electronic bk.)