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...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | , |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, UK ; New York :
Cambridge University Press,
2004.
|
| Schriftenreihe: | London Mathematical Society lecture note series ;
302. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (ix, 257 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 243-254) and index. |
| ISBN: | 0511065574 9780511065576 9780511546709 051154670X 9780511067709 0511067704 |
Internformat
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| 505 | 0 | |a 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. | |
| 505 | 8 | |a Appendix E NLS systems in the limit of large amplitudesBibliography; Index. | |
| 520 | |a 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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| author2 | Prinari, B., 1972- Trubatch, A. D., 1968- |
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| 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. |
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| indexdate | 2024-11-27T13:15:39Z |
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| series2 | London Mathematical Society lecture note series ; |
| spelling | Ablowitz, Mark J. Discrete and continuous nonlinear Schrödinger systems / M.J. Ablowitz, B. Prinari, A.D. Trubatch. Cambridge, UK ; New York : Cambridge University Press, 2004. 1 online resource (ix, 257 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 302 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. Schrödinger equation. http://id.loc.gov/authorities/subjects/sh85118495 Nonlinear theories. http://id.loc.gov/authorities/subjects/sh85092332 Inverse scattering transform. http://id.loc.gov/authorities/subjects/sh85067686 Équation de Schrödinger. Théories non linéaires. Problème inverse de diffusion. SCIENCE Waves & Wave Mechanics. bisacsh Inverse scattering transform fast Nonlinear theories fast Schrödinger equation fast Equação de schrodinger. larpcal Electronic books. Prinari, B., 1972- https://id.oclc.org/worldcat/entity/E39PCjrCB8KqTCqbrGwVCD77f3 http://id.loc.gov/authorities/names/n2003008478 Trubatch, A. D., 1968- https://id.oclc.org/worldcat/entity/E39PCjJVGqjFJqDXhV4xMvdmMK http://id.loc.gov/authorities/names/n2003008479 Print version: Ablowitz, Mark J. Discrete and continuous nonlinear Schrödinger systems. Cambridge, UK ; New York : Cambridge University Press, 2004 0521534372 (DLC) 2003048555 (OCoLC)52047392 London Mathematical Society lecture note series ; 302. http://id.loc.gov/authorities/names/n42015587 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=120679 Volltext |
| spellingShingle | Ablowitz, Mark J. Discrete and continuous nonlinear Schrödinger systems / London Mathematical Society lecture note series ; 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. Schrödinger equation. http://id.loc.gov/authorities/subjects/sh85118495 Nonlinear theories. http://id.loc.gov/authorities/subjects/sh85092332 Inverse scattering transform. http://id.loc.gov/authorities/subjects/sh85067686 Équation de Schrödinger. Théories non linéaires. Problème inverse de diffusion. SCIENCE Waves & Wave Mechanics. bisacsh Inverse scattering transform fast Nonlinear theories fast Schrödinger equation fast Equação de schrodinger. larpcal |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85118495 http://id.loc.gov/authorities/subjects/sh85092332 http://id.loc.gov/authorities/subjects/sh85067686 |
| title | Discrete and continuous nonlinear Schrödinger systems / |
| title_auth | Discrete and continuous nonlinear Schrödinger systems / |
| title_exact_search | Discrete and continuous nonlinear Schrödinger systems / |
| title_full | Discrete and continuous nonlinear Schrödinger systems / M.J. Ablowitz, B. Prinari, A.D. Trubatch. |
| title_fullStr | Discrete and continuous nonlinear Schrödinger systems / M.J. Ablowitz, B. Prinari, A.D. Trubatch. |
| title_full_unstemmed | Discrete and continuous nonlinear Schrödinger systems / M.J. Ablowitz, B. Prinari, A.D. Trubatch. |
| title_short | Discrete and continuous nonlinear Schrödinger systems / |
| title_sort | discrete and continuous nonlinear schrodinger systems |
| topic | Schrödinger equation. http://id.loc.gov/authorities/subjects/sh85118495 Nonlinear theories. http://id.loc.gov/authorities/subjects/sh85092332 Inverse scattering transform. http://id.loc.gov/authorities/subjects/sh85067686 Équation de Schrödinger. Théories non linéaires. Problème inverse de diffusion. SCIENCE Waves & Wave Mechanics. bisacsh Inverse scattering transform fast Nonlinear theories fast Schrödinger equation fast Equação de schrodinger. larpcal |
| topic_facet | Schrödinger equation. Nonlinear theories. Inverse scattering transform. Équation de Schrödinger. Théories non linéaires. Problème inverse de diffusion. SCIENCE Waves & Wave Mechanics. Inverse scattering transform Nonlinear theories Schrödinger equation Equação de schrodinger. Electronic books. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=120679 |
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