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.Keywords
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