Forced Nonlinear Evolution Equations and the Inverse Scattering Transform
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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Document Type: Research Article
Affiliations: Clarkson University
Publication date: June 1, 1989