Results 211 to 220 of about 7,287 (264)
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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 +3 more
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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 +3 more
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Parametric spatial solitary waves
Optics Letters, 1994We consider the copropagation of three (pump, Stokes, and anti-Stokes) self-trapped beams that interact through the parametric four-photon-mixing process in a (1 + 1 dimension) uniform self-focusing nonlinear medium. The stationary propagation involving three trapped beams is shown to be possible below a critical frequency shift when the phase ...
Y, Chen, J, Atai
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SOLITARY WAVE INTERACTIONS WITH CONTINUOUS WAVES
International Journal of Bifurcation and Chaos, 2006Solitary wave propagation under interaction with continuous waves is studied in the context of the Nonlinear Schrödinger Equation. An analytical approach, based on the conserved quantities of the wave evolution, is used to study transverse velocity variations for the case of nonzero transverse wavenumber difference between the solitary and continuous ...
Kominis, Y., Hizanidis, K.
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Advances in Engineering Mechanics — Reflections and Outlooks, 2005
Experimental and theoretical results are presented for binary collisions between copropagating and counter-propagating solitary waves. The experiments provide highresolution measurements of water surface profiles at fixed times, thereby enabling direct comparisons with predictions by a variety of mathematical models.
JOSEPH HAMMACK +3 more
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Experimental and theoretical results are presented for binary collisions between copropagating and counter-propagating solitary waves. The experiments provide highresolution measurements of water surface profiles at fixed times, thereby enabling direct comparisons with predictions by a variety of mathematical models.
JOSEPH HAMMACK +3 more
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Journal of Fluid Mechanics, 1988
Experiments on the radial propagation of axisymmetric free-surface solitary waves are reported and compared with theoretical and numerical solutions of the cylinderical Korteweg–de Vries (CKdV) equation. A new experimental technique to obtain a continuous amplitude signature on photographic paper is reported.
P. D. Weidman, R. Zakhem
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Experiments on the radial propagation of axisymmetric free-surface solitary waves are reported and compared with theoretical and numerical solutions of the cylinderical Korteweg–de Vries (CKdV) equation. A new experimental technique to obtain a continuous amplitude signature on photographic paper is reported.
P. D. Weidman, R. Zakhem
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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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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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Journal of Fusion Energy, 2011
Nonlinear ion acoustic waves using a fluid model in cylindrical coordinates for the propagation parallel to the magnetic field are investigated in a low-β magnetized plasma. It is found that beside the existence of smooth regular solitons, cusp solitons also exist in plasmas when certain plasma conditions are satisfied.
M. N. S. Qureshi +2 more
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Nonlinear ion acoustic waves using a fluid model in cylindrical coordinates for the propagation parallel to the magnetic field are investigated in a low-β magnetized plasma. It is found that beside the existence of smooth regular solitons, cusp solitons also exist in plasmas when certain plasma conditions are satisfied.
M. N. S. Qureshi +2 more
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Optical Society of America Annual Meeting, 1992
We obtained, by using the Painleve method, the bright solitary wave solution to an extended nonlinear Schrodinger equation, which models the propagation of ultrashort pulses, and found that a quadruple clad fiber is needed to propagate this solitary wave.
M. J. Potasek, J. M. Fang
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We obtained, by using the Painleve method, the bright solitary wave solution to an extended nonlinear Schrodinger equation, which models the propagation of ultrashort pulses, and found that a quadruple clad fiber is needed to propagate this solitary wave.
M. J. Potasek, J. M. Fang
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Physics Letters A, 2006
Abstract Long dynamo waves are a characteristic feature of interface dynamo models with spatially localized α and Ω effects. The evolution of such waves is described by the modified Korteweg–de Vries equation. Solutions to this equation take the form of solitary waves, breathers, and snoidal and cnoidal waves, and represent nonlinear waves of ...
Joanne Mason, Edgar Knobloch
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Abstract Long dynamo waves are a characteristic feature of interface dynamo models with spatially localized α and Ω effects. The evolution of such waves is described by the modified Korteweg–de Vries equation. Solutions to this equation take the form of solitary waves, breathers, and snoidal and cnoidal waves, and represent nonlinear waves of ...
Joanne Mason, Edgar Knobloch
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The Physics of Fluids, 1980
The interaction of solitary-wave solutions of a model equation for long waves in dispersive media is examined numerically. It is found that the waves do not emerge from the interaction unscathed. Instead, two new solitary waves, having slightly different amplitudes from the original waves, together with a small dispersive tail are generated as a result
Bona, Jerry L. +2 more
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The interaction of solitary-wave solutions of a model equation for long waves in dispersive media is examined numerically. It is found that the waves do not emerge from the interaction unscathed. Instead, two new solitary waves, having slightly different amplitudes from the original waves, together with a small dispersive tail are generated as a result
Bona, Jerry L. +2 more
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