Results 31 to 40 of about 1,291,405 (203)

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, Ankiewicz, Adrian, Akhmediev, Nail   +2 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, Chuanjian Wang, Zhengde Dai, Jun Liu   +3 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, Ligang Chen, Jian Wang, Xin Zhang, Guoli Ma   +4 more
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Optical rogue waves in integrable turbulence [PDF]

SPIE Proceedings, 2015
We report optical fiber experiments allowing to investigate integrable turbulence in the focusing regime of the one dimensional nonlinear Schrödinger equation (1D-NLSE). Our experiments are very similar in their principle to water tank experiments with random initial conditions (see M. Onorato {\it et al.} Phys. Rev. E {\bf 70} 067302 (2004)). Using an
Walczak, Pierre, Randoux, Stéphane, Suret, Pierre   +2 more
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A Modified Time-Reversal Wave-Generation Method for Reproducing High-Order Rogue Waves in Laboratory

Applied Sciences
Rogue waves are sudden, extreme events that pose a threat to offshore structures’ safety. Accurately replicating nonlinear rogue waves in laboratory settings is challenging but crucial for evaluating extreme loads. Recently, the time-reversal (TR) method
Fukang Ge, Shengfei Li, Zhe Hu, Xiaoying Zhang   +3 more
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Nonlinear Talbot effect of rogue waves [PDF]

Physical Review E, 2014
Akhmediev and Kuznetsov-Ma breathers are rogue wave solutions of the nonlinear Schrödinger equation (NLSE). Talbot effect (TE) is an image recurrence phenomenon in the diffraction of light waves. We report the nonlinear TE of rogue waves in a cubic medium.
Zhang, Yiqi, Belić, Milivoj R., Zheng, Huaibin, Chen, Haixia, Li, Changbiao, Song, Jianping, Zhang, Yanpeng   +6 more
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Rogue wave indicators from global models and buoy data [PDF]

Ocean Science
Rogue waves pose substantial risks to maritime operations and offshore infrastructure, yet their formation mechanisms and predictability remain poorly understood.
L. Azevedo, G. Marcon, S. Meyers, M. Luther   +3 more
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Numerical study on the generation and evolution of the super-rogue waves

Journal of Ocean Engineering and Science, 2016
The super-rogue wave solutions of the nonlinear Schrödinger equation (NLS) are numerically studied based on the weakly nonlinear hydrodynamic equation. The super-rogue wave solutions up to the 5th order, also known as the so-called super-rogue waves, are
Jianmin Yang, Wenyue Lu
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Rogue Wave Observation in a Water Wave Tank [PDF]

Physical Review Letters, 2011
The conventional definition of rogue waves in the ocean is that their heights, from crest to trough, are more than about twice the significant wave height, which is the average wave height of the largest one-third of nearby waves. When modeling deep water waves using the nonlinear Schrödinger equation, the most likely candidate satisfying this ...
Chabchoub, A, Hoffmann, N P, Akhmediev, Nail   +2 more
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