Initial boundary value problem on a half-line for the MKdV equation

1998/06/22 by I. T. Habibullin, Habibullin, I. T.
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #nlin.SI #solv-int

paper · pdf · doi:10.48550/arxiv.solv-int/9806006

16 pages, special macros

arxiv created 1998/06/22 · arxiv updated 2009/11/30

Abstract

Initial boundary value problem on a half-line for the Modified KdV equation is considered with the boundary conditions equal to zero at the origin and initial condition chosen arbitrary decreasing rapidly enough and this problem is plunged into the scheme of the inverse scattering method. Here the inverse scattering problem is reduced to the Riemann problem on a system of rays on the complex plane.

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