Journal ArticleDOI
Formation of the rogue wave due to non-linear two-dimensional waves interaction
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In this article, a numerical solution of the Kadomtsev-Petviashvili (KP) equation is obtained to account for the formation of localized abnormally high amplitude wave due to a resonant superposition of two incidentally non-interacting long-crested waves.About:
This article is published in Wave Motion.The article was published on 2005-09-01. It has received 38 citations till now. The article focuses on the topics: Rogue wave & Mechanical wave.read more
Citations
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Soliton Solutions of the KP Equation and Application to Shallow Water Waves
TL;DR: A survey of recent developments on soliton solutions of the Kadomtsev-Petviashvili equation is given in this article, where the authors give complete proofs of theorems needed for the classification.
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Soliton solutions of the KP equation and application to shallow water waves
TL;DR: A survey of recent development on soliton solutions of the KP equation can be found in this article, where the authors give a complete proof for the theorems needed for the classification.
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KP solitons in shallow water
TL;DR: A survey of soliton solutions of the Kadomtsev-Petviashv (KP) equation can be found in this article, where the authors discuss an application of their theory to the Mach reflection problem in shallow water and show how precisely the KP theory predicts this wave behavior.
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Generalized Darboux transformation and localized waves in coupled Hirota equations
TL;DR: A generalized Darboux transformation to the coupled Hirota equations with high-order nonlinear effects like the third dispersion, self-steepening and inelastic Raman scattering terms was constructed in this paper.
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Nonlinear Components of Ship Wake Waves
TL;DR: In this article, an overview of the nonlinear parts of a ship's wake is presented, including the very narrow V-like wake components, packets of monochromatic waves, ship-generated depression areas, and supercritical bores.
References
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Book
Linear and Nonlinear Waves
TL;DR: In this paper, a general overview of the nonlinear theory of water wave dynamics is presented, including the Wave Equation, the Wave Hierarchies, and the Variational Method of Wave Dispersion.
Journal ArticleDOI
Linear and Nonlinear Waves
G. B. Whitham,T. C. T. Ting +1 more
TL;DR: In this paper, a reference record was created on 2005-11-18, modified on 2016-08-08 and used for the purpose of ondes ; chocs ; onde de : choc reference record.
Journal ArticleDOI
Physical Mechanisms of the Rogue Wave Phenomenon
Christian Kharif,Efim Pelinovsky +1 more
TL;DR: A review of physical mechanisms of the rogue wave phenomenon is given in this article, where the authors demonstrate that freak waves may appear in deep and shallow waters and demonstrate that these mechanisms remain valid but should be modified.
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Resonantly interacting solitary waves
TL;DR: In this article, the phase-locked interactions between three obliquely oriented solitary waves are studied and it is shown that such interactions are associated with the parametric end points of the singular regime for interactions between two solitary waves.
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Obliquely interacting solitary waves
TL;DR: In this article, it was shown that these interactions are phase-conserving (the sum of the phases of incoming waves is equal to the sum of phases of the outgoing waves).