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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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Fractional Rogue Waves with Translational Coordination, Steep Crest, and Modified Asymmetry
Complexity, 2021 To construct fractional rogue waves, this paper first introduces a conformable fractional partial derivative. Based on the conformable fractional partial derivative and its properties, a fractional Schrödinger (NLS) equation with Lax integrability is ...
Bo Xu, Yufeng Zhang, Sheng Zhang
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Optical polarization rogue waves from supercontinuum generation in zero dispersion fiber pumped by dissipative soliton [PDF]
, 2019 Optical rogue waves emerge in nonlinear optical systems with extremely large amplitudes, and leave without a trace. In this work, we reveal the emergence of optical polarization rogue waves in supercontinuum generation from a zero-dispersion fiber ...
Cao, Yulong +9 more
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Generation of rogue waves at model scale
Journal of Ocean Engineering and Science, 2019 The study of rogue waves is becoming increasingly important, as the offshore oil and gas, as well as renewable energy industries, expand. The unpredictability of such disastrous waves poses a significant risk to floating and fixed structures, making it ...
Bailey Groves, Nagi Abdussamie
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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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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 and downshifting in the presence of damping [PDF]
Natural Hazards and Earth System Sciences, 2011 Recently Gramstad and Trulsen derived a new higher order nonlinear Schrödinger (HONLS) equation which is Hamiltonian (Gramstad and Trulsen, 2011). We investigate the effects of dissipation on the development of rogue waves and downshifting by adding an ...
A. Islas, C. M. Schober
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High-order rogue waves of a long wave-short wave model [PDF]
, 2018 The long wave-short wave model describes the interaction between the long wave and the short wave. Exact higher-order rational solution expressed by determinants is calculated via the Hirota's bilinear method and the KP hierarchy reduction.
Chen, Junchao +3 more
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Evolution of nanohillocks by fullerene ion-induced localized plasma
Frontiers in Physics, 2023 Surface nanostructures etch without chemicals; owing to this, their development is a crucial technical process. Surface nanohillocks may be created by irradiating yttrium iron garnet (YIG) with 30-MeV C60 cluster ions.
R. Altuijri +7 more
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