Book contents
- Frontmatter
- 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
- A Algebraic Curves and Their Theta Functions in a Nutshell
- B Hyperelliptic Curves of the KdV-Type
- C Hyperelliptic Curves of the AKNS-Type
- D Asymptotic Spectral Parameter Expansions and Nonlinear Recursion Relations
- E Lagrange Interpolation
- F Symmetric Functions, Trace Formulas, and Dubrovin-Type Equations
- G KdV and AKNS Darboux-Type Transformations
- H Elliptic Functions
- I Herglotz Functions
- J Spectral Measures and Weyl—Titchmarsh m-Functions for Schrödinger Operators
- List of Symbols
- Bibliography
- Index
1 - The KdV Hierarchy
Published online by Cambridge University Press: 23 December 2009
Book contents
- Frontmatter
- 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
- A Algebraic Curves and Their Theta Functions in a Nutshell
- B Hyperelliptic Curves of the KdV-Type
- C Hyperelliptic Curves of the AKNS-Type
- D Asymptotic Spectral Parameter Expansions and Nonlinear Recursion Relations
- E Lagrange Interpolation
- F Symmetric Functions, Trace Formulas, and Dubrovin-Type Equations
- G KdV and AKNS Darboux-Type Transformations
- H Elliptic Functions
- I Herglotz Functions
- J Spectral Measures and Weyl—Titchmarsh m-Functions for Schrödinger Operators
- List of Symbols
- Bibliography
- Index
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- Soliton Equations and their Algebro-Geometric Solutions , pp. 19 - 122Publisher: Cambridge University PressPrint publication year: 2003