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Are Solitary Internal Waves Solitons?
Studies in Applied Mathematics, 1998Results 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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IEEE Geoscience and Remote Sensing Magazine
Oceanic internal solitary waves (ISWs) are widely distributed in oceans worldwide. ISWs exhibit significant amplitudes, high speeds, and short periods and thus have a substantial impact on the surrounding environment and engineering activities.
Junmin Meng +3 more
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Oceanic internal solitary waves (ISWs) are widely distributed in oceans worldwide. ISWs exhibit significant amplitudes, high speeds, and short periods and thus have a substantial impact on the surrounding environment and engineering activities.
Junmin Meng +3 more
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INTERNAL SOLITARY WAVES OVER A COMBINED OBSTACLE
Journal of Applied Mechanics and Technical Physics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the vertical structure of internal solitary waves in the northeastern South China Sea
Deep Sea Research Part I: Oceanographic Research Papers, 2021Internal solitary waves (ISWs) make important contributions to energy cascade, ocean mixing and material transport in the ocean. However, there are few observational studies on the vertical structure of ISWs.
Gong Yi +4 more
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Nonlinear Wave Equations for Oceanic Internal Solitary Waves
Studies in Applied Mathematics, 2015In 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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Atmospheric Internal Solitary Waves
2006The 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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Oblique Interactions between Internal Solitary Waves
Studies in Applied Mathematics, 1994In 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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Modern physics letters B, 2021
In this study, the modified [Formula: see text]-expansion method and modified sub-equation method have been successfully applied to the fractional Benjamin–Ono equation that models the internal solitary wave event in the ocean or atmosphere.
S. Duran, A. Yokuş, H. Durur, D. Kaya
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In this study, the modified [Formula: see text]-expansion method and modified sub-equation method have been successfully applied to the fractional Benjamin–Ono equation that models the internal solitary wave event in the ocean or atmosphere.
S. Duran, A. Yokuş, H. Durur, D. Kaya
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Coupled perturbed modes and internal solitary waves
The Journal of the Acoustical Society of America, 2003Coupled 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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Internal solitary waves and their head-on collision. II
The Physics of Fluids, 1986The head-on collision between two modified Korteweg–de Vries (MKdV) solitary waves is investigated where cubic and quadratic nonlinearities balance dispersion. These waves propagate at the interface of an inviscid two-fluid system where the ratio of the fluids densities is comparable to the square of the ratio of depths.
Mirie, Rida M., Su, C. H.
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