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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2012, Volume 95, Issue 9, Pages 550–556
(Mi jetpl2552)
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This article is cited in 31 scientific papers (total in 31 papers)
METHODS OF THEORETICAL PHYSICS
On the nonlinear Schrödinger equation for waves on a nonuniform current
V. P. Ruban L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
Abstract:
A nonlinear Schrödinger equation with variable coefficients for surface waves on a large-scale steady nonuniform current has been derived without the assumption of a relative smallness of the velocity of the current. This equation can describe with good accuracy the loss of modulation stability of a wave coming to a counter current, leading to the formation of so-called rogue waves. Some theoretical estimates are compared to the numerical simulation with the exact equations for a two-dimensional potential motion of an ideal fluid with a free boundary over a nonuniform bottom at a nonzero average horizontal velocity.
Received: 21.02.2012 Revised: 19.03.2012
Citation:
V. P. Ruban, “On the nonlinear Schrödinger equation for waves on a nonuniform current”, Pis'ma v Zh. Èksper. Teoret. Fiz., 95:9 (2012), 550–556; JETP Letters, 95:9 (2012), 486–491
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https://www.mathnet.ru/eng/jetpl2552 https://www.mathnet.ru/eng/jetpl/v95/i9/p550
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Abstract page: | 435 | Full-text PDF : | 197 | References: | 40 | First page: | 6 |
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