Del 302 i serien London Mathematical Society Lecture Note Series

Discrete and Continuous Nonlinear Schrödinger Systems

Häftad, Engelska, 2003

AvM. J. Ablowitz,B. Prinari,A. D. Trubatch

1 939 kr

Beställningsvara. Skickas inom 3-6 vardagar. Fri frakt för medlemmar vid köp för minst 249 kr.

In recent years there have been important and far reaching developments in the study of nonlinear waves and a class of nonlinear wave equations which arise frequently in applications. The wide interest in this field comes from the understanding of special waves called 'solitons' and the associated development of a method of solution to a class of nonlinear wave equations termed the inverse scattering transform (IST). Before these developments, very little was known about the solutions to such 'soliton equations'. The IST technique applies to both continuous and discrete nonlinear Schrödinger equations of scalar and vector type. Also included is the IST for the Toda lattice and nonlinear ladder network, which are well-known discrete systems. This book, first published in 2003, presents the detailed mathematical analysis of the scattering theory; soliton solutions are obtained and soliton interactions, both scalar and vector, are analyzed. Much of the material is not available in the previously-published literature.

Produktinformation

Utgivningsdatum2003-12-24
Mått150 x 224 x 15 mm
Vikt400 g
FormatHäftad
SpråkEngelska
SerieLondon Mathematical Society Lecture Note Series
Antal sidor268
FörlagCambridge University Press
ISBN9780521534376

Tillhör följande kategorier

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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Del 302 i serien London Mathematical Society Lecture Note Series

Discrete and Continuous Nonlinear Schrödinger Systems

Häftad, Engelska, 2003

AvM. J. Ablowitz,B. Prinari,A. D. Trubatch

1 939 kr

Beställningsvara. Skickas inom 3-6 vardagar. Fri frakt för medlemmar vid köp för minst 249 kr.

Produktinformation

Utgivningsdatum2003-12-24
Mått150 x 224 x 15 mm
Vikt400 g
FormatHäftad
SpråkEngelska
SerieLondon Mathematical Society Lecture Note Series
Antal sidor268
FörlagCambridge University Press
ISBN9780521534376

Tillhör följande kategorier

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.