Topic
Rogue wave
About: Rogue wave is a research topic. Over the lifetime, 2977 publications have been published within this topic receiving 70933 citations. The topic is also known as: freak wave & monster wave.
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TL;DR: In this article, a 3D non-hydrostatic model is employed to simulate nonlinear focusing wave groups, which can accurately simulate the steep free surface involved in focusing waves, and the model is built upon a general boundary-fitted coordinate system.
27 citations
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TL;DR: The time-dependent Date–Jimbo–Kashiwara–Miwa equation in (2+1)-dimensions is investigated which works as a model for describing the propagation of nonlinear dispersive waves in inhomogeneous media and the rogue wave emerges by taking a limit behavior.
27 citations
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TL;DR: In this article, the generalized Darboux transformation for the coherently-coupled nonlinear Schrodinger (CCNLS) system is constructed in terms of determinant representations.
Abstract: In this paper, the generalized Darboux transformation for the coherently-coupled nonlinear Schrodinger (CCNLS) system is constructed in terms of determinant representations. Based on the Nth-iterated formula, the vector bright soliton solution and vector rogue wave solution are systematically derived under the nonvanishing background. The general first-order vector rogue wave solution can admit many different fundamental patterns including eye-shaped and four-petaled rogue waves. It is believed that there are many more abundant patterns for high order vector rogue waves in CCNLS system.
27 citations
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TL;DR: The analytical rogue wave solutions to a generalized variable coefficient nonlinear Schrodinger equation with external potentials describing the pulse propagation in nonlinear media with transverse and longitudinal directions nonuniformly distributed are obtained.
27 citations
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TL;DR: In this article, a reductive perturbation method is used to obtain a nonlinear Korteweg-de Vries (KdV) equation describing the model.
Abstract: Propagation of nonlinear dust-acoustic waves in a magnetized collisionless plasma having positively, negatively charged dust grains and nonextensive distributed electrons and ions has been investigated. A reductive perturbation method is used to obtain a nonlinear Korteweg-de Vries (KdV) equation describing the model. The dynamics of the modulational instability gives rise to the formation of rogue waves that is described by a nonlinear Schrodinger equation. The dependence of rogue waves profiles on positive and negative charged dust cyclotron frequencies, nonextensive parameters of electrons and ions is investigated numerically. The result of the present investigation may be applicable to some plasma environments, such as cometary tails and upper mesosphere.
27 citations