Description

Book Synopsis

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 Schrödinger 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.



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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.

Hamiltonian Methods in the Theory of Solitons

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    A Paperback by Ludwig Faddeev, A.G. Reyman, Leon Takhtajan

    15 in stock

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      View other formats and editions of Hamiltonian Methods in the Theory of Solitons by Ludwig Faddeev

      Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
      Publication Date: 18/05/2007
      ISBN13: 9783540698432, 978-3540698432
      ISBN10: 3540698434
      Also in:
      Mathematics Differential calculus and equations Integral calculus and equations Mathematical / Computational / Theoretical physics

      Description

      Book Synopsis

      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 Schrödinger 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.



      Trade Review


      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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