Results 161 to 170 of about 712,956 (202)

Alternative kind of solitary waves

Physics Letters A, 1997
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Callebaut, D. K., El-Sayed, M. F.
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Perturbations of Solitons and Solitary Waves

Studies in Applied Mathematics, 1981
A direct perturbation method is developed to investigate the evolution of solitary waves in the presence of small perturbations. A uniformly valid first order solution is constructed. The method is applied to several nonlinear evolution equations which support solitons or solitary waves.
Kodama, Yuji, Ablowitz, Mark J.
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Nonlinear modulations of solitary waves

Journal of Fluid Mechanics, 1994
The leading optical approximation to a slowly varying solitary crest on constant depth is the plane soliton solution with the local values of amplitude and orientation substituted. This leads to two nonlinear hyperbolic equations for the local amplitude and inclination of the crest that have been reported by several authors and predict the formation of
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Time Reversing Solitary Waves

Physical Review Letters, 2004
We present new results for the time reversal of nonlinear pulses traveling in a random medium, in particular for solitary waves. We consider long water waves propagating in the presence of a spatially random depth. Both hyperbolic and dispersive regimes are considered.
Jean-Pierre, Fouque, Josselin, Garnier, Juan Carlos, Muñoz Grajales, André, Nachbin   +3 more
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Theory of solitary waves in electrophoresis

ELECTROPHORESIS, 1996
AbstractA theoretical study about the generation of solitary waves (SW) in electrophoresis and capillary electrophoresis is performed. Two models that use velocity terms in Fick's first law and absorption and decaying terms in Fick's second law are presented.
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Solitary waves in elastic ferromagnets

Physical Review B, 1986
It is shown, on the basis of the continuum equations of the magnetoelasticity of ferromagnetic crystals, that Bloch walls in an infinite crystal and N\'eel walls in a thin elastic film can be represented by ``magnetoelastic'' solitary waves. In the first case the solitary waves are solutions of a simple sine-Gordon equation in which the only alteration
, Maugin, , Miled
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Stability of vector solitary waves

Physical Review A, 1994
The stability of vector solitary waves in birefringent nonlinear dispersive media is considered. It is shown that the vector solitary waves characterized by two peak intensities in one or both polarization components, such as those reported by Christodoulidis and Joseph [Opt. Lett. 13, 53 (1988)] and Tranik and Sipe [Phys. Rev.
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Are Solitary Internal Waves Solitons?

Studies in Applied Mathematics, 1998
Results of fully nonlinear numerical simulations of the interaction of two mode‐1 solitary internal waves, both propagating in the same direction, are presented. After the interaction, two solitary internal waves emerge. The large wave is slightly larger than the initial large solitary wave, while the small one is slightly smaller than the initial ...
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Solitary waves in dispersive media

Il Nuovo Cimento B, 2004
The problem of solitary-wave propagation in composite elastic material is considered and solved. The linear equations, in the presence of a dispersive propagation law, give rise to nonlinear effects as the breaking-down of the wave into two modes propagating with different phase velocities.
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Solitary waves travelling along an unsmooth boundary

Results in Physics, 2021
Ji‐Huan He, Chun-Hui He
exaly