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Soliton Equations and their Algebro-...
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Bollobas, B.
Soliton Equations and their Algebro-Geometric Solutions :Volume 1, (1+1)-Dimensional Continuous Models.
Record Type:
Electronic resources : Monograph/item
Title/Author:
Soliton Equations and their Algebro-Geometric Solutions :
Reminder of title:
Volume 1, (1+1)-Dimensional Continuous Models.
Author:
Gesztesy, Fritz.
other author:
Bollobas, B.
Published:
Cambridge :Cambridge University Press,2003.
Description:
519 p.
Online resource:
Click here to view book
ISBN:
9780511546723# (electronic bk.)
Soliton Equations and their Algebro-Geometric Solutions :Volume 1, (1+1)-Dimensional Continuous Models.
Gesztesy, Fritz.
Soliton Equations and their Algebro-Geometric Solutions :
Volume 1, (1+1)-Dimensional Continuous Models.[electronic resource]. - Cambridge :Cambridge University Press,2003. - 519 p.
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����olm 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
The Korteweg-de Vries (KdV), the AKNS, the nonlinear Schrodinger, 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.
Electronic reproduction.
Available via World Wide Web.
Mode of access: World Wide Web.
ISBN: 9780511546723# (electronic bk.)Index Terms--Genre/Form:
214472
Electronic books.
LC Class. No.: QC20.7. D5 / G47 2003
Dewey Class. No.: 515.353
Soliton Equations and their Algebro-Geometric Solutions :Volume 1, (1+1)-Dimensional Continuous Models.
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Soliton Equations and their Algebro-Geometric Solutions :
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Volume 1, (1+1)-Dimensional Continuous Models.
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[electronic resource].
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Cambridge University Press,
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2003.
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519 p.
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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����olm 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
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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����itchmarsh m-Functions for Schrodinger Operators; List of Symbols; Bibliography; Index
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The Korteweg-de Vries (KdV), the AKNS, the nonlinear Schrodinger, 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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Click here to view book
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http://dx.doi.org/10.1017/CBO9780511546723#
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