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An initial-boundary value problem on the half-line for the MKdV equation. (English. Russian original) Zbl 0966.35115
Funct. Anal. Appl. 34, No. 1, 52-59 (2000); translation from Funkts. Anal. Prilozh. 34, No. 1, 65-75 (2000).
Summary: The initial-boundary value problem on the half-line for the modified Korteweg-de Vries (MkdV) equation with zero boundary conditions and arbitrary rapidly decaying initial conditions is embedded in the scheme of the inverse scattering method. The corresponding inverse scattering problem is reduced to the Riemann problem on a system of rays in the complex plane.

35Q53 KdV equations (Korteweg-de Vries equations)
37K15 Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems
Full Text: DOI
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