Resonantly coupled nonlinear evolution equations
- 1 November 1975
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 16 (11), 2301-2305
- https://doi.org/10.1063/1.522460
Abstract
A differential matrix eigenvalue problem is used to generate systems of nonlinear evolution equations. They model triad, multitriad, self‐modal, and quartet wave interactions. A nonlinear string equation is also recovered as a special case. A continuum limit of the eigenvalue problem and associated evolution equations are discussed. The initial value solution requires an investigation of the corresponding inverse‐scattering problem.This publication has 14 references indexed in Scilit:
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