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 Schr{ö}dinger 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.
CITATION STYLE
Faddeev, L. D., & Takhtajan, L. A. (1987). Hamiltonian Methods in the Theory of Solitons. Hamiltonian Methods in the Theory of Solitons. Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-540-69969-9
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