Results 21 to 30 of about 1,513 (181)
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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Nature, 2007 Recent observations show that the probability of encountering an extremely large rogue wave in the open ocean is much larger than expected from ordinary wave-amplitude statistics. Although considerable effort has been directed towards understanding the physics behind these mysterious and potentially destructive events, the complete picture remains ...
Solli, D R +3 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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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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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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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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Rogue heat and diffusion waves [PDF]
Chaos, Solitons & Fractals, 2020 In this paper, we numerically show and discuss the existence and characteristics of rogue heat and diffusion waves. More specifically, we use two different nonlinear heat (diffusion) models and show that modulation instability leads to the generation of unexpected and large fluctuations in the frame of these models.
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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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Investigation on breather waves and rogue waves in applied mechanics and physics
Alexandria Engineering Journal, 2021 Nonlinear evolution equation is a research hot spot in the field of science and engineering. Recently, searching for breather and rogue wave solutions to nonlinear evolution equations has become a popular topic in nonlinear mathematical physics.
Xueai Yin +4 more
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New Rational Homoclinic and Rogue Waves for Davey-Stewartson Equation
Abstract and Applied Analysis, 2014 A new method, homoclinic breather limit method (HBLM), for seeking rogue wave solution of nonlinear evolution equation is proposed. A new family of homoclinic breather wave solution, and rational homoclinic solution (homoclinic rogue wave) for DSI and ...
Changfu Liu +3 more
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