Results 231 to 240 of about 4,987 (277)

The stability of internal solitary waves

Mathematical Proceedings of the Cambridge Philosophical Society, 1983
A theory is developed relating to the stability of solitary-wave solutions of the so-called Benjamin-Ono equation. This equation was derived by Benjamin (5) as a model for the propagation of internal waves in an incompressible non-diffusive heterogeneous fluid for which the density is non-constant only within a layer whose thickness is much smaller ...
Bennett, D. P., Brown, R. W., Stansfield, S. E., Stroughair, J. D., Bona, J. L.   +4 more
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Internal Modes of Solitary Waves

Physical Review Letters, 1998
We develop an analytical approach for describing a birth of internal modes of solitary waves in nonintegrable nonlinear models. We show that a small perturbation of a proper sign to an integrable model can create a soliton internal mode bifurcating from the continuous wave spectrum. The theory is applied to the double sine-Gordon and discrete nonlinear
Yuri S. Kivshar, Dmitry E. Pelinovsky, Thierry Cretegny, Michel Peyrard   +3 more
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Large internal solitary waves on a weak shear

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2022
Large amplitude solitary internal waves of permanent form propagating in a stratified shallow fluid between the free surface and a horizontal bottom are described by the amplitude equation obtained by a regular asymptotic procedure, which incorporates a complicated nonlinearity and Korteweg–de Vries (KdV) dispersion.
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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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Shoaling internal solitary waves

Journal of Geophysical Research: Oceans, 2013
The evolution and breaking of internal solitary waves in a shallow upper layer as they approach a constant bottom slope is examined through laboratory experiments. The waves are launched in a two‐layer fluid through the standard lock‐release method.
B. R. Sutherland, K. J. Barrett, G. N. Ivey   +2 more
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INTERNAL SOLITARY WAVES OVER A COMBINED OBSTACLE

Journal of Applied Mechanics and Technical Physics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nonlinear Wave Equations for Oceanic Internal Solitary Waves

Studies in Applied Mathematics, 2015
In the coastal ocean, the interaction of barotropic tidal currents with topographic features such as the continental shelf, sills in narrow straits, and bottom ridges are often observed to generate large amplitude, horizontally propagating internal solitary waves.
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Oblique Interactions between Internal Solitary Waves

Studies in Applied Mathematics, 1994
In this paper, we study the oblique interaction of weakly, nonlinear, long internal gravity waves in both shallow and deep fluids. The interaction is classified as weak when where Δ1=|cm/cn−cosδ|, Δ2=|cn/cm−cosδ|,cm,n, are the linear, long wave speeds for waves with mode numbers m, n, δ is the angle between the respective propagation directions, and α
Grimshaw, R., Zhu, Y.
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Atmospheric Internal Solitary Waves

2006
The solitary waves that have been observed in the atmosphere fall broadly into two classes: those that propagate in a fairly shallow stratified layer near the ground and those that occupy the entire troposphere. We present a survey of the observations of both types of solitary waves. The generation mechanisms differ substantially for these two types of
James W. Rottman, Roger Grimshaw
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Coupled perturbed modes and internal solitary waves

The Journal of the Acoustical Society of America, 2003
Coupled perturbed mode theory combines conventional coupled modes and perturbation theory. The theory is used to directly calculate mode coupling in a range-dependent shallow water problem involving propagation through continental shelf internal solitary waves.
C J, Higham, C T, Tindle
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