
arXiv: nlin/0207013
The problem of searching boundary value problems for soliton equations consistent with the integrability property is discussed. A method of describing integrals of motion for the integrable initial boundary value problems for the Kadomtsev-Petviashvili equation is suggested via Green identity.
Latex file, The talk on the International Conference: Nonlinear Physics: Theory and Experiment, II Gallipoli, Lecce, (Italy) June 27-July 6, 2002
Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems, Nonlinear Sciences - Exactly Solvable and Integrable Systems, NLS equations (nonlinear Schrödinger equations), sine- Gordon equation, FOS: Physical sciences, Scattering theory, inverse scattering involving ordinary differential operators, inverse scattering method, KdV equations (Korteweg-de Vries equations), Boundary initial value problems, Korteweg-de Vries equation, Scattering theory for PDEs, Exactly Solvable and Integrable Systems (nlin.SI), nonlinear Schrödinger equation, solvability
Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems, Nonlinear Sciences - Exactly Solvable and Integrable Systems, NLS equations (nonlinear Schrödinger equations), sine- Gordon equation, FOS: Physical sciences, Scattering theory, inverse scattering involving ordinary differential operators, inverse scattering method, KdV equations (Korteweg-de Vries equations), Boundary initial value problems, Korteweg-de Vries equation, Scattering theory for PDEs, Exactly Solvable and Integrable Systems (nlin.SI), nonlinear Schrödinger equation, solvability
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