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Titlebook: Hamiltonian Methods in the Theory of Solitons; Ludwig D. Faddeev,Leon A. Takhtajan Book 2007 Springer-Verlag Berlin Heidelberg 2007 Invers

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Book 2007in Leningrad. The concept of solitonwas introduced by Kruskal and Zabusky in 1965. A soliton (a solitary wave) is a localized particle-like solution of a nonlinear equation which describes excitations of finite energy and exhibits several characteristic features: propagation does not destroy the pro
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The Physics of Structural Phase Transitionsn the following chapters. The examples to be considered fall into two classes: dynamical systems generated by partial differential evolution equations (continuous models), and evolution systems of difference type (lattice models).
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The Hamiltonian Formulationcompletely integrable system, with . defining a transformation to action-angle variables. In particular, we will show that the integrals of the motion introduced in Chapter I are in involution. In these terms scattering of solitons amounts to a simple canonical transformation.
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1431-0821 matical physics for studying nonlinear partial differential equations, almost as vigoraus as the Fourier transform. The book is based on the Hamiltonian interpretation of the method, hence the 978-3-540-69843-2978-3-540-69969-9Series ISSN 1431-0821 Series E-ISSN 2512-5257
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