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This article is cited in 6 scientific papers (total in 6 papers)
PLASMA, HYDRO- AND GAS DYNAMICS
On the modulation instability of surface waves on a large-scale shear flow
V. P. Ruban L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
Abstract:
The problem of the modulation instability of a weakly nonlinear quasi-monochromatic wave on the surface of deep water in the presence of a steady-state collinear large-scale inhomogeneous flow (e.g., of a jet type) has been considered. In a certain range of (obtuse) angles of incidence of the wave with respect to the flow direction, the steepness of the refracted wave increases considerably, which contributes to the enhancement of nonlinear effects, including the formation of so-called rogue waves. The corresponding nonlinear Schrцdinger equation with variable coefficients suitable for the analysis of the modulation instability has been derived.
Received: 07.12.2012
Citation:
V. P. Ruban, “On the modulation instability of surface waves on a large-scale shear flow”, Pis'ma v Zh. Èksper. Teoret. Fiz., 97:4 (2013), 215–220; JETP Letters, 97:4 (2013), 188–193
Linking options:
https://www.mathnet.ru/eng/jetpl3354 https://www.mathnet.ru/eng/jetpl/v97/i4/p215
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Abstract page: | 233 | Full-text PDF : | 65 | References: | 37 | First page: | 6 |
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