Hamiltonian Methods in the Theory of Solitons (Springer Series in Soviet Mathematics)

Faddeev, Ludwig D./ Takhtajan-Leon, A./ Reyman, A. G. (TRN)

Springer-Verlag Berlin and Heidelberg GmbH & Co. K（1987/07発売）

• 製本 Hardcover:ハードカバー版／ページ数 601 p.
• 言語 ENG
• 商品コード 9783540155799
• DDC分類 530.14

Full Description

The main characteristic of this classic exposition of the inverse scattering method and its applications to soliton theory is its consistent Hamiltonian approach to the theory. The nonlinear Schrodinger equation is considered as a main example, forming the first part of the book. The second part examines such fundamental models as the sine-Gordon equation and the Heisenberg equation, the classification of integrable models and methods for constructing their solutions.

Contents

The Nonlinear Schrodinger Equation (NS Model).- Zero Curvature Representation.- The Riemann Problem.- The Hamiltonian Formulation.- General Theory of Integrable Evolution Equations.- Basic Examples and Their General Properties.- Fundamental Continuous Models.- Fundamental Models on the Lattice.- Lie-Algebraic Approach to the Classification and Analysis of Integrable Models.- Conclusion.- Conclusion.