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- W209978061 abstract "The nonlinear interactions and modulations of an n-dimensional wave and of a disturbance to a near-critical system governed by a general (n + 1)-dimensional system of equations are studied by perturbation methods. It is found that these modulations are governed by an evolution equation which is either by itself or coupled to a second equation, depending on the nature of the long wave solutions of the corresponding linearized system. When a single evolution equation exists, its leading terms are shown to give the nonlinear Schrödinger equation. Water waves and near-critical plane Poiseuille flow are discussed as examples." @default.
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- W209978061 date "1974-12-01" @default.
- W209978061 modified "2023-09-27" @default.
- W209978061 title "On the Modulations and Nonlinear Interactions of Waves and the Nonlinear Stability of a Near-Critical System" @default.
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- W209978061 doi "https://doi.org/10.1002/sapm1974534317" @default.
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