Results 31 to 40 of about 2,644,874 (205)
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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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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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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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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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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Rogue waves in (2+1)-dimensional three-wave resonant interactions [PDF]
Physica A: Statistical Mechanics and its Applications, 2021 Rogue waves in (2+1)-dimensional three-wave resonant interactions are studied. General rogue waves arising from a constant background, from a lump-soliton background and from a dark-soliton background have been derived, and their dynamics illustrated ...
Bo Yang, Jianke Yang
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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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Physical Review E, 2018 We present a theoretical study of extreme events occurring in phononic lattices. In particular, we focus on the formation of rogue or freak waves, which are characterized by their localization in both spatial and temporal domains. We consider two examples. The first one is the prototypical nonlinear mass-spring system in the form of a homogeneous Fermi-
Charalampidis, E. G. +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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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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