Results 241 to 250 of about 94,822 (286)

Instability and Breaking of a Solitary Wave

Journal of Fluid Mechanics, 1987
The result of a linear stability calculation of solitary waves which propagate steadily along the free surface of a liquid layer of constant depth is examined numerically by employing a time-stepping scheme based on a boundary-integral method. The initial’ growth rate that is found for sufficiently small perturbations agrees well with the growth rate ...
Tanaka, M, Dold, JW, Lewy, M, Peregrine, DH   +3 more
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Internal Solitary Waves

1997
The basic theory of internal solitary waves is developed, with the main emphasis on environmental situations, such as the many occurrences of such waves in shallow coastal seas and in the atmospheric boundary layer. Commencing with the equations of motion for an inviscid, incompressible density-stratified fluid, we describe asymptotic reductions to ...
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Solitary Waves on a Continuous Wave Background

Journal of the Physical Society of Japan, 1995
A class of exact solutions of some nonlinear envelope equations is derived by the Hirota bilinear method. These solutions reduce to a plane wave in the far field but generally are not dark solitons. In one asymptotic regime they simplify to solitary waves on a continuous wave background.
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On the transverse instabilities of solitary waves

Physics Letters A, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Allen, M. A., Rowlands, G.
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Alternative kind of solitary waves

Physics Letters A, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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Solitary surface acoustic waves

Physical Review E, 2004
Solitary acoustic pulses can propagate along the surface of a coated homogeneous and inhomogeneous medium. It is shown how these nonlinear surface acoustic waves evolve out of initial pulselike conditions generated by pulsed laser excitation and how they can be monitored by optical detection. The solitary pulse shapes at the surface are computed on the
C, Eckl, A S, Kovalev, A P, Mayer, A M, Lomonosov, P, Hess   +4 more
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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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