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Forced Nonlinear Evolution Equations and the Inverse Scattering Transform

A. S. FokasClarkson UniversityMark J. AblowitzClarkson University
1989en
ABI

Abstract

The Korteweg—de Vries and nonlinear Schrödinger equations with an external forcing of distribution type are considered. The reflection coefficient is found to satisfy a nonlinear equation of a certain characteristic form which also appears in the semi‐infinite problem.

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Cited by 30 references