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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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| Auteur principal : | |
|---|---|
| Autres auteurs : | |
| Format : | Livre |
| Langue : | anglais |
| Titre complet : | Hamiltonian Methods in the Theory of Solitons / by Ludwig D. Faddeev, Leon A. Takhtajan. |
| Édition : | 1st ed. 2007. |
| Publié : |
Berlin, Heidelberg :
Springer Berlin Heidelberg
, [20..] Cham : Springer Nature |
| Collection : | Classics in mathematics (Online) |
| Accès en ligne : |
Accès Nantes Université
Accès direct soit depuis les campus via le réseau ou le wifi eduroam soit à distance avec un compte @etu.univ-nantes.fr ou @univ-nantes.fr |
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| Condition d'utilisation et de reproduction : | Conditions particulières de réutilisation pour les bénéficiaires des licences nationales : https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |
| Contenu : | 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. |
| Sujets : | |
| Documents associés : | Autre format:
Hamiltonian methods in the theory of solitons |
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| 330 | |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. | ||
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| 452 | | | |0 008667454 |t Hamiltonian methods in the theory of solitons |f L.D. Faddeev, L.A. Takhtajan |d 1987 |c Berlin |n Springer |p 1 vol. (ix-592 p.) |s Springer series in Soviet mathematics |y 3-540-15579-1 | |
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