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Forced Nonlinear Evolution Equations and the Inverse Scattering Transform
Author(s) -
Fokas A. S.,
Ablowitz M. J.
Publication year - 1989
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm1989803253
Subject(s) - inverse scattering transform , mathematical analysis , nonlinear system , korteweg–de vries equation , mathematics , inverse scattering problem , forcing (mathematics) , reflection (computer programming) , inverse , scattering , inverse problem , distribution (mathematics) , type (biology) , physics , geometry , optics , geology , quantum mechanics , paleontology , computer science , programming language
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.