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Soliton equations and their...

Soliton equations and their algebro-geometric solutions.

Gesztesy, Fritz (1953-)

Cambridge University Press 2003

The Korteweg-de Vries (KdV), the AKNS, the nonlinear Schrödinger, the sine-Gordon and the Camassa-Holm equations, and the Thirring system, are all completely integrable nonlinear PDEs permitting special classes of solutions. This is a detailed treatment of the class of algebro-geometric solutions and their representations in terms of Riemann theta functions

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monografia Rebiun28669795 https://catalogo.rebiun.org/rebiun/record/Rebiun28669795 m o d | cr -n--------- 101120s2003 enka ob 001 0 eng d 2002074069 1-107-12855-2 1-280-41775-7 9786610417759 0-511-16955-8 0-511-06657-0 0-511-20551-1 0-511-30840-X 0-511-54672-6 0-511-06870-0 UPVA 998449680903706 UAM 991008016965204211 CBUC 991010751353306709 MiAaPQ MiAaPQ MiAaPQ eng 515.353 530.15/5355 Soliton equations and their algebro-geometric solutions. Volume 1+1 Dimensional continuous models electronic resource] Fritz Gesztesy, Helge Holden Cambridge, UK New York Cambridge University Press 2003 Cambridge, UK New York Cambridge, UK New York Cambridge University Press 1 online resource (519 p.) 1 online resource (519 p.) Text txt computer c online resource cr Cambridge studies in advanced mathematics 79 Description based upon print version of record Includes bibliographical references and index Cover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Acknowledgments; Introduction; 1 The KdV Hierarchy; 2 The Combined sine-Gordon and Modified KdV Hierarchy; 3 The AKNS Hierarchy; 4 The Classical Massive Thirring System; 5 The Camassa-Holm Hierarchy; Appendix A Algebraic Curves and Their Theta Functions in a Nutshell; Appendix B Hyperelliptic Curves of the KdV-Type; Appendix C Hyperelliptic Curves of the AKNS-Type; Appendix D Asymptotic Spectral Parameter Expansions and Nonlinear Recursion Relations; Appendix E Lagrange Interpolation Appendix F Symmetric Functions, Trace Formulas, and Dubrovin-Type EquationsAppendix G KdV and AKNS Darboux-Type Transformations; Appendix H Elliptic Functions; Appendix I Herglotz Functions; Appendix J Spectral Measures and Weyl-Titchmarsh m-Functions for Schrödinger Operators; List of Symbols; Bibliography; Index The Korteweg-de Vries (KdV), the AKNS, the nonlinear Schrödinger, the sine-Gordon and the Camassa-Holm equations, and the Thirring system, are all completely integrable nonlinear PDEs permitting special classes of solutions. This is a detailed treatment of the class of algebro-geometric solutions and their representations in terms of Riemann theta functions English Differential equations, Nonlinear- Numerical solutions Solitons Electronic books Gesztesy, Fritz 1953-) 0-521-75307-4 Cambridge studies in advanced mathematics 79

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monografia Rebiun28669795 https://catalogo.rebiun.org/rebiun/record/Rebiun28669795 m o d | cr -n--------- 101120s2003 enka ob 001 0 eng d 2002074069 1-107-12855-2 1-280-41775-7 9786610417759 0-511-16955-8 0-511-06657-0 0-511-20551-1 0-511-30840-X 0-511-54672-6 0-511-06870-0 UPVA 998449680903706 UAM 991008016965204211 CBUC 991010751353306709 MiAaPQ MiAaPQ MiAaPQ eng 515.353 530.15/5355 Soliton equations and their algebro-geometric solutions. Volume 1+1 Dimensional continuous models electronic resource] Fritz Gesztesy, Helge Holden Cambridge, UK New York Cambridge University Press 2003 Cambridge, UK New York Cambridge, UK New York Cambridge University Press 1 online resource (519 p.) 1 online resource (519 p.) Text txt computer c online resource cr Cambridge studies in advanced mathematics 79 Description based upon print version of record Includes bibliographical references and index Cover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Acknowledgments; Introduction; 1 The KdV Hierarchy; 2 The Combined sine-Gordon and Modified KdV Hierarchy; 3 The AKNS Hierarchy; 4 The Classical Massive Thirring System; 5 The Camassa-Holm Hierarchy; Appendix A Algebraic Curves and Their Theta Functions in a Nutshell; Appendix B Hyperelliptic Curves of the KdV-Type; Appendix C Hyperelliptic Curves of the AKNS-Type; Appendix D Asymptotic Spectral Parameter Expansions and Nonlinear Recursion Relations; Appendix E Lagrange Interpolation Appendix F Symmetric Functions, Trace Formulas, and Dubrovin-Type EquationsAppendix G KdV and AKNS Darboux-Type Transformations; Appendix H Elliptic Functions; Appendix I Herglotz Functions; Appendix J Spectral Measures and Weyl-Titchmarsh m-Functions for Schrödinger Operators; List of Symbols; Bibliography; Index The Korteweg-de Vries (KdV), the AKNS, the nonlinear Schrödinger, the sine-Gordon and the Camassa-Holm equations, and the Thirring system, are all completely integrable nonlinear PDEs permitting special classes of solutions. This is a detailed treatment of the class of algebro-geometric solutions and their representations in terms of Riemann theta functions English Differential equations, Nonlinear- Numerical solutions Solitons Electronic books Gesztesy, Fritz 1953-) 0-521-75307-4 Cambridge studies in advanced mathematics 79