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

Author
Ablowitz, Mark J.
Published
Cambridge, UK ; New York : Cambridge University Press, 2004.
Physical Description
1 online resource (ix, 257 pages) : illustrations
Additional Creators
Prinari, B., 1972- and Trubatch, A. D., 1968-
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Series
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. and 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.
Subject(s)
ISBN
0511065574 (electronic bk.)
9780511065576 (electronic bk.)
9780511546709 (electronic bk.)
051154670X (electronic bk.)
9780511067709 (electronic bk.)
0511067704 (electronic bk.)
0521534372 (Paper)
9780521534376
Bibliography Note
Includes bibliographical references (pages 243-254) and index.
View MARC record | catkey: 43318643