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Soliton Equations and their Algebro-...

Bollobas, B.

Soliton Equations and their Algebro-Geometric Solutions :Volume 1, (1+1)-Dimensional Continuous Models.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Soliton Equations and their Algebro-Geometric Solutions :
其他題名:	Volume 1, (1+1)-Dimensional Continuous Models.
作者:	Gesztesy, Fritz.
其他作者:	Bollobas, B.
出版者:	Cambridge :Cambridge University Press,2003.
面頁冊數:	519 p.
電子資源:	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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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��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
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��itchmarsh 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.
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