Results 41 to 50 of about 712,956 (202)
Bifurcation Phenomena of Nonlinear Waves in a Generalized Zakharov-Kuznetsov Equation
Advances in Mathematical Physics, 2013 We study the bifurcation phenomena of nonlinear waves described by a generalized Zakharov-Kuznetsov equation ut+au2+bu4ux+γuxxx+δuxyy=0. We reveal four kinds of interesting bifurcation phenomena.
Yun Wu, Zhengrong Liu
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Numerical simulation of capillary gravity waves excited by an obstacle in shallow water; pp. 278–284 [PDF]
Proceedings of the Estonian Academy of Sciences, 2015 Capillary gravity waves excited by an obstacle are investigated by numerical simulations. Under the resonant condition for which large-amplitude solitary waves are generated, solutions of the Euler equations show that the capillary effects induce the ...
Motonori Hirata +2 more
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Numerical Study on Collisions of Solitons of Surface Waves in Finite Water Depth
Fluids, 2023 Head-on collisions between two solitary waves in the framework of the nonlinear Schrödinger (NLS) equation were investigated using the Fourier spectral method. When solitary waves undergo collision, the peak value of surface elevation (hereafter referred
Bo Liao +3 more
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East European Journal of PhysicsThe current paper recovers hybrid solitary waves for double–layered shallow water waves with the basic platform being the mKdV equation. The selected models are the Zaremaoghaddam equation and the Gear–Grimshaw equation. The integration algorithm adopted
Lakhveer Kaur +5 more
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Abstract and Applied Analysis, 2014 We solve the so-called dissipative nonlinear Schrödinger equation by means of multiple scales analysis and perturbation method to describe envelope solitary Rossby waves with dissipation effect in stratified fluids.
Yunlong Shi +4 more
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Experimental measurement of focused wave group and solitary wave overtopping [PDF]
, 2011 Prediction of individual wave overtopping events is important in assessing danger to life and property, but data are sparse and hydrodynamic understanding is lacking.
Stansby, Peter K. +12 more
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The solitary wave of asexual evolution [PDF]
Proceedings of the National Academy of Sciences, 2003 Using a previously undescribed approach, we develop an analytic model that predicts whether an asexual population accumulates advantageous or deleterious mutations over time and the rate at which either process occurs. The model considers a large number of linked identical loci, or nucleotide sites; assumes that the selection coefficient per site is ...
Igor M, Rouzine +2 more
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A global investigation of solitary-wave solutions to a two-parameter model for water waves [PDF]
, 1996 The model equation (2r''''/15)-(br'')+(ar)+(3r^2/2)-((r')^2/2)+[rr']'=0 arises as the equation for solitary-wave solutions to a fifth-order long-wave equation for gravitycapillary water waves.
Groves, MD, Champneys, AR
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On the generation of solitary waves observed by Cluster in the near-Earth magnetosheath [PDF]
Nonlinear Processes in Geophysics, 2005 Through case studies involving Cluster waveform observations, solitary waves in the form of bipolar and tripolar pulses have recently been found to be quite abundant in the near-Earth dayside magnetosheath.
J. S. Pickett +16 more
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Journal of Applied Mathematics, 2012 The paper presents an investigation of the generation, evolution of Rossby solitary waves generated by topography in finite depth fluids. The forced ILW- (Intermediate Long Waves-) Burgers equation as a model governing the amplitude of solitary waves is ...
Hongwei Yang +3 more
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