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Theory of solitons. The inverse scattering method. Transl. from the Russian. (English) Zbl 0598.35002
Contemporary Soviet Mathematics. New York - London: Plenum Publishing Corporation. Consultants Bureau. xi, 286 p. (1984).
See the review of the Russian original (Moscow 1980) in Zbl 0598.35003.

MSC:
35-02 Research exposition (monographs, survey articles) pertaining to partial differential equations
37-02 Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory
35Q51 Soliton equations
35Q53 KdV equations (Korteweg-de Vries equations)
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
37K15 Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems
37K40 Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems
35P25 Scattering theory for PDEs