Nonlinear Evolution Equations—Two and Three Dimensions
- 3 November 1975
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 35 (18), 1185-1188
- https://doi.org/10.1103/physrevlett.35.1185
Abstract
A method is developed which generates a class of nonlinear evolution equations in two and three spatial dimensions from an associated eigenvalue problem and its time dependence. Special cases include the equations describing nonlinear, resonantly interacting, wave envelopes in two and three dimensions; a "nonlinear Schrödinger" equation in two dimensions; and a two-dimensional analog of the Korteweg- de Vries equation.Keywords
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