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, Takhtajan, Leon (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2007, 2007
Edition:1st ed. 2007
Series:Classics in Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Hamiltonian Methods in the Theory of Solitons  |h Elektronische Ressource  |c by Ludwig Faddeev, Leon Takhtajan 
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505 0 |a 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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653 |a Integral Equations 
653 |a Theoretical, Mathematical and Computational Physics 
653 |a Global analysis (Mathematics) 
653 |a Global Analysis and Analysis on Manifolds 
653 |a Differential equations 
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520 |a 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 investigation of this equation forms the first part of the book. The second part is devoted to such fundamental models as the sine-Gordon equation, Heisenberg equation, Toda lattice, etc, the classification of integrable models and the methods for constructing their solutions