Results 21 to 30 of about 32,830 (172)
Triangular rogue wave cascades [PDF]
Physical Review E, 2012 By numerically applying the recursive Darboux transformation technique, we study high-order rational solutions of the nonlinear Schrödinger equation that appear spatiotemporally as triangular arrays of Peregrine solitons. These can be considered as rogue wave cascades and complement previously discovered circular cluster forms.
Kedziora, David J. +2 more
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The sinking of the El Faro: predicting real world rogue waves during Hurricane Joaquin [PDF]
, 2017 We present a study on the prediction of rogue waves during the 1-hour sea state of Hurricane Joaquin when the Merchant Vessel El Faro sank east of the Bahamas on October 1, 2015.
Chawla, Arun +2 more
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Circular rogue wave clusters [PDF]
Physical Review E, 2011 Using the Darboux transformation technique and numerical simulations, we study the hierarchy of rational solutions of the nonlinear Schrödinger equation that can be considered as higher order rogue waves in this model. This analysis reveals the existence of rogue wave clusters with a high level of symmetry in the (x,t) plane.
Kedziora, David +2 more
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Transverse Instability of Rogue Waves [PDF]
Physical Review Letters, 2021 Rogue waves are abnormally large waves which appear unexpectedly and have attracted considerable attention, particularly in recent years. The one space, one time (1+1) nonlinear Schr dinger equation is often used to model rogue waves; it is an envelope description of plane waves and admits the so-called Pergerine and Kuznetov-Ma soliton solutions ...
Mark J. Ablowitz, Justin T. Cole
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Rogue waves, rogue events and extreme wave kinematics in spatio-temporal fields of simulated sea states [PDF]
Natural Hazards and Earth System Sciences, 2013 An approach to the extensive study of rogue wave occurrence in numerical simulations is presented. As a result of numerical simulations of the unidirectional wave evolution, spatio-temporal fields of wave data of the size 20 min × 10 km are obtained with
A. Sergeeva, A. Slunyaev
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Optical Chaos in Saturated Nonlinear Media
Photonics, 2023 In the study of the evolution of Gaussian beam in saturated nonlinear media, it is found that the probability of optical rogue waves changes with the change of nonlinearity.
Fuqiang Li +4 more
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Exp-function Method and Reduction Transformations for Rogue Wave Solutions of the Davey-Stewartson Equations [PDF]
Journal of Applied and Computational Mechanics, 2021 A pair of rogue wave solutions of the Davey-Stewartson (DS) equations are obtained by using the exp-function method and reduction transformations. Firstly, the Davey-Stewartson equations are transformed into two easy-to-solve equations, one of which is ...
Sheng Zhang, Yue Zhang, Bo Xu
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Communications in Theoretical Physics, 2010 The financial rogue waves are reported analytically in the nonlinear option pricing model due to Ivancevic, which is nonlinear wave alternative of the Black-Scholes model. These solutions may be used to describe the possible physical mechanisms for rogue wave phenomenon in financial markets and related fields.
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Complexity, 2019 In this paper, the bilinear method is employed to investigate the rogue wave solutions and the rogue type multiple lump wave solutions of the (2+1)-dimensional Benjamin-Ono equation.
Zhonglong Zhao, Lingchao He, Yubin Gao
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Lifetimes of Rogue Wave Events in Direct Numerical Simulations of Deep-Water Irregular Sea Waves
Fluids, 2019 The issue of rogue wave lifetimes is addressed in this study, which helps to detail the general picture of this dangerous oceanic phenomenon. The direct numerical simulations of irregular wave ensembles are performed to obtain the complete accurate data ...
Anna Kokorina, Alexey Slunyaev
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