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Boundary conditions for nonlinear equations compatible with integrability. (English. Russian original) Zbl 0802.35138
Theor. Math. Phys. 96, No. 1, 845-853 (1993); translation from Teor. Mat. Fiz. 96, No. 1, 109-122 (1993).
Summary: Infinite series of local boundary conditions, completely compatible with the inverse scattering method, are presented for the nonlinear Schrödinger equation and the sine-Gordon equation.

35Q55 NLS equations (nonlinear Schrödinger equations)
35Q53 KdV equations (Korteweg-de Vries equations)
37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
Full Text: DOI
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