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
More filters
TL;DR: The long wave-short wave resonance model as discussed by the authors is a system of nonlinear evolution equations solvable by the Hirota bilinear method and also possesses a Lax pair formulation.
Abstract: The long wave–short wave resonance model arises physically when the phase velocity of a long wave matches the group velocity of a short wave. It is a system of nonlinear evolution equations solvable by the Hirota bilinear method and also possesses a Lax pair formulation. ‘‘Rogue wave’’ modes, algebraically localized entities in both space and time, are constructed from the breathers by a singular limit involving a ‘‘coalescence’’ of wavenumbers in the long
56 citations
TL;DR: In this paper, the Simulating WAves Nearshore (SWAN) model is forced with the ERA-Interim wind database from 1979 to 2017 with a resolution of 0.25° in both longitude and latitude.
56 citations
TL;DR: The novel generalized perturbation (n, M)-fold Darboux transformations (DTs) are reported and a new phenomenon that the parameter (a) can control the wave structures of the KP equation from the higher-order rogue waves into higher- order rational solitons in (x, t)-space with y = const.
56 citations
56 citations
TL;DR: It is demonstrated qualitatively that different modulation instability gain distribution can induce different rogue wave excitation patterns and would deepen the understanding of rogue wave dynamics in complex systems.
Abstract: We revisit a rogue wave in a two-mode nonlinear fiber whose dynamics is described by two-component coupled nonlinear Schrodinger equations. The relative frequency between two modes can induce different rogue wave patterns transition. In particular, we find a four-petaled flower structure rogue wave can exist in the two-mode coupled system, which possesses an asymmetric spectrum distribution. Furthermore, spectrum analysis is performed on these different type rogue waves, and the spectrum relations between them are discussed. We demonstrate qualitatively that different modulation instability gain distribution can induce different rogue wave excitation patterns. These results would deepen our understanding of rogue wave dynamics in complex systems.
56 citations