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.
Papers published on a yearly basis
Papers
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TL;DR: It is argued that under suitable circumstances nonlinear interaction between weak and strong waves results in intermittent giant waves with all the signatures of rogue waves.
Abstract: The concept of rogue waves arises from a mysterious and potentially calamitous phenomenon of oceanic surfaces. There is mounting evidence that they are actually commonplace in a variety of different physical settings. A set of defining criteria has been advanced; this set is of great generality and therefore applicable to a wide class of systems. The question arises naturally whether there are generic mechanisms responsible for extreme events in different systems. Here we argue that under suitable circumstances nonlinear interaction between weak and strong waves results in intermittent giant waves with all the signatures of rogue waves. To obtain these circumstances only a few basic conditions must be met. Then reflection of waves at the so-called group-velocity horizon occurs. The connection between rogue waves and event horizons, seemingly unrelated physical phenomena, is identified as a feature common in many different physical systems.
97 citations
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TL;DR: In this article, the authors obtained solitons and singular periodic solutions to the generalized resonant dispersive nonlinear Schrodinger's equation with power law nonlinearity, which are important in the nonlinear fiber optics community as well as in the study of rogue waves.
96 citations
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TL;DR: Two-dimensional, finite-depth periodic water waves with general vorticity and large amplitude are computed in this paper, and the mathematical formulation and numerical method that allow us to compute a continuum of such waves with arbitrary vortivities are described.
Abstract: Two-dimensional, finite-depth periodic water waves with general vorticity and large amplitude are computed The mathematical formulation and numerical method that allow us to compute a continuum of such waves with arbitrary vorticity are described The problems of whether extreme waves exist, where their stagnation points occur, and what qualitative features such waves possess are addressed here with particular emphasis on constant vorticity
95 citations
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TL;DR: In this article, the neural network model of test function for the (3+1)-dimensional Jimbo-Miwa equation is extended to the 4-2-3 model by giving some specific activation functions.
Abstract: It is well known that most classical test functions to solve nonlinear partial differential equations can be constructed via single hidden layer neural network model by using Bilinear Neural Network Method (BNNM). In this paper, the neural network model of test function for the (3+1)-dimensional Jimbo–Miwa equation is extended to the “4-2-3” model. By giving some specific activation functions, new test function is constructed to obtain analytical solutions of the (3+1)-dimensional Jimbo–Miwa equation. Rogue wave solutions and the bright and dark solitons are obtained by giving some specific parameters. Via curve plots, three-dimensional plots, contour plots and density plots, dynamical characteristics of these waves are exhibited.
95 citations
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TL;DR: The results show that rogue wave can come from the extreme behavior of the breather solitary wave for ( 2 + 1 ) -dimensional nonlinear wave fields.
95 citations