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Discrete and Continuous Nonlinear Schrodinger Systems


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Table of Contents

1. Introduction; 2. Nonlinear schrödinger equation (NLS); 3. Integrable discrete nonlinear schrödinger equation (IDNSL); 4. Matrix nonlinear Schrödinger equation (MNLS); 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 amplitudes.

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This book presents a detailed mathematical analysis of scattering theory, obtains soliton solutions, and analyzes soliton interactions, both scalar and vector.


'… this valuable book provides a detailed and self-contained presentation of an extremely important tool used in the study of NLS systems.' EMS Newsletter

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