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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01 Jun 2021
TL;DR: In this paper, a polynomial conjecture associated with rational solutions including rogue wave solutions of the KdV equation is presented, which can be used to show that an arbitrary linear combination of two Wronskian polynomials with a difference two between the Wronkian orders will again be a solution.
Abstract: A polynomial conjecture, associated with rational solutions including rogue wave solutions of the KdV equation, is presented. The conjecture can be used to show that for the bilinear KdV equation, an arbitrary linear combination of two Wronskian polynomial solutions with a difference two between the Wronskian orders will again be a solution.
27 citations
01 Jan 2000
26 citations
TL;DR: In this paper, the authors derived self-similar rogue wave solutions (rational solutions) for the non-autonomous nonlinear system with a linear potential and investigated the controllable behaviors of one-rogue wave, two-rogUE wave and rogue wave triplets in a soliton control system.
Abstract: Based on the similarity transformation connected the nonautonomous nonlinear Schrodinger equation with the autonomous nonlinear Schrodinger equation, we firstly derive self-similar rogue wave solutions (rational solutions) for the nonautonomous nonlinear system with a linear potential. Then, we investigate the controllable behaviors of one-rogue wave, two-rogue wave and rogue wave triplets in a soliton control system. Our results demonstrate that the propagation behaviors of rogue waves, including postpone, sustainment, recurrence and annihilation, can be manipulated by choosing the relation between the maximum value of the effective propagation distance Z
m
and the parameter Z
0. Moreover, the excitation time of controllable rogue waves is decided by the parameter T
0.
26 citations
TL;DR: In this article, the second-order rogue wave solutions of the Sasa-Satsuma evolution equation were presented in explicit form for three free parameter values of the family of rogue wave solution.
26 citations
TL;DR: In this paper, the effects of modulational instability on the behavior of freak waves were investigated and it was found that wind sustains the maximum of modulation due to the Benjamin-Feir instability.
Abstract: Freak waves are generated numerically by means of modulational instability. Their interaction with wind is investigated. Wind is modeled as Jeffreys’ sheltering mechanism. Contrary to the case without wind, it is found that wind sustains the maximum of modulation due to the Benjamin-Feir instability. The general kinematic behavior observed for freak waves due to dispersive focusing is recovered here, even if the underlying physics are different in both cases.
26 citations