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Soliton Equations and their Algebro-...

Gesztesy, Fritz.

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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.
[NT 15003449]:	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
[NT 15003449]:	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 Schrodinger Operators; List of Symbols; Bibliography; Index
Online resource:	http://dx.doi.org/10.1017/CBO9780511546723#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-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

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:

542853
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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245 1 0 $a Soliton Equations and their Algebro-Geometric Solutions : $b Volume 1, (1+1)-Dimensional Continuous Models. $h [electronic resource].
260 $a Cambridge : $b Cambridge University Press, $c 2003.
300 $a 519 p.
505 0 $a 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
505 8 $a 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 Schrodinger Operators; List of Symbols; Bibliography; Index
520 $a 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.
533 $a Electronic reproduction. $n Available via World Wide Web.
538 $a Mode of access: World Wide Web.
655 7 $a Electronic books. $2 lcsh $3 542853
700 1 $a Bollobas, B. $3 1897715
700 1 $a Fulton, W. $3 713901
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700 1 $a Katok, A. $3 1897716
700 1 $a Kirwan, F. $3 1897717
700 1 $a Sarnak, P. $3 1897718
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856 4 0 $z Click here to view book $u http://dx.doi.org/10.1017/CBO9780511546723#