Titlebook: Important Developments in Soliton Theory; A. S. Fokas,V. E. Zakharov Book 1993 Springer-Verlag Berlin Heidelberg 1993 Eigenvalue.Hamiltoni

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Differential Geometry and Hydrodynamics of Soliton Lattices.Dubrovin, I.M. Krichever, S.P. Tsarev (and the present author). More details may be found in the survey article [.]. Modern needs in the large new classes of hydrodynamic type systems appear in connection with very interesting asymptotic method - so called “nonlinear analog of WKB-method”, method o

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Bi-Hamiltonian Structures and Integrabilityhe works of Zakharov and Faddeev [1] and Gardner [2] who interpreted the KortewegdeVries (KdV) equation . as a completely integrable Hamiltonian system in an infinite dimensional phase space (the relevant Hamiltonian operator is ?.). Furthermore, it was shown in [1], that the inverse spectral method

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The Cauchy Problem for Doubly Periodic Solutions of KP-II Equationheory of integrable equations the algebraic-geometrical methods provide a construction of the periodic and quasi-periodic solutions which can be written exactly in terms of the theta-functions of auxiliary Riemann surfaces.

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Springer Series in Nonlinear Dynamicshttp://image.papertrans.cn/i/image/462710.jpg

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