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Hamiltonian Methods in the Theory of Solitons

The main characteristic of this now classic exposition of the inverse scattering method and its applications to soliton theory is its consistent Hamiltonian approach to the theory. The nonlinear Schrödinger equation, rather than the (more usual) KdV equation, is considered as a main example. The inv...

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Bibliographic Details
Main Authors: Faddeev, Ludwig. (Author, http://id.loc.gov/vocabulary/relators/aut), Takhtajan, Leon. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2007.
Edition:1st ed. 2007.
Series:Classics in Mathematics,
Subjects:
Mathematical physics.
Partial differential equations.
Integral equations.
Global analysis (Mathematics).
Manifolds (Mathematics).
Theoretical, Mathematical and Computational Physics.
Partial Differential Equations.
Integral Equations.
Global Analysis and Analysis on Manifolds.
Online Access:https://doi.org/10.1007/978-3-540-69969-9
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Table of Contents:
  • The Nonlinear Schrödinger 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. .

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