Forced Nonlinear Evolution Equations and the Inverse Scattering Transform | Zendy

Fokas A. S. | Zendy; Ablowitz M. J. | Zendy

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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.

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