Triangular temporal-distribution law for disintegrating internal solitons over a step
Theoretical and Applied Mechanics Letters, 2018 : Internal solitary waves have been found to disintegrate into a series of solitons over variable bathymetry, with important applications for offshore engineering.
Dalin Tan, Jifu Zhou, Xu Wang
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Highly Nonlinear Solitary Waves for Rail Buckling Prevention [PDF]
, 2013 One of the major structural problems in the railroads made of continuous welded rails is buckling in hot weather and breakage or pulling apart in cold weather.
Cai, Luyao
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Solitary Waves and Their Interactions in the Cylindrical Korteweg–De Vries Equation
, 2023 We consider approximate, exact, and numerical solutions to the cylindrical Korteweg–de Vries equation. We show that there are different types of solitary waves and obtain the dependence of their parameters on distance.
Jingli Ren +5 more
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Journal of Applied Mathematics, 2014 This paper investigates the orbital stability of solitary waves for the generalized symmetric regularized-long-wave equations with two nonlinear terms and analyzes the influence of the interaction between two nonlinear terms on the orbital stability ...
Weiguo Zhang +3 more
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Brief communication: Multiscaled solitary waves [PDF]
Nonlinear Processes in Geophysics, 2017 It is analytically shown how competing nonlinearities yield multiscaled structures for internal solitary waves in stratified shallow fluids. These solitary waves only exist for large amplitudes beyond the limit of applicability of the Korteweg–de ...
O. G. Derzho
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Solitary smooth hump solutions of the Camassa-Holm equation by means of the homotopy analysis method [PDF]
, 2008 The homotopy analysis method is used to find a family of solitary smooth hump solutions of the Camassa-Holm equation. This approximate solution, which is obtained as a series of exponentials, agrees well with the known exact solution.
Abbasbandy, S., Parkes, E.J.
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Solitary-wave propagation and interactions for a sixth-order generalized Boussinesq equation
International Journal of Mathematics and Mathematical Sciences, 2005 We study the solitary waves and their interaction for a six-order generalized Boussinesq equation (SGBE) both numerically and analytically. A shooting method with appropriate initial conditions, based on the phase plane analysis around the equilibrium ...
Bao-Feng Feng +3 more
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Solitary-Wave Solutions of Benjamin–Ono and Other Systems for Internal Waves: II. Dynamics
, 2023 Considered here are two systems of equations modeling the two-way propagation of long-crested, long-wavelength internal waves along the interface of a two-layer system of fluids in the Benjamin–Ono and the Intermediate Long-Wave regime, respectively ...
Dimitrios Mitsotakis (8510154) +2 more
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Large amplitude solitary waves in and near the Earth’s magnetosphere, magnetopause and bow shock: Polar and Cluster observations [PDF]
Nonlinear Processes in Geophysics, 2003 Solitary waves with large electric fields (up to 100's of mV/m) have been observed throughout the magnetosphere and in the bow shock. We discuss observations by Polar at high altitudes ( ~ 4-8 RE ), during crossings of the plasma sheet boundary and ...
C. Cattell +8 more
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The Ion Acoustic Solitary Waves and Double Layers in the Solar Wind Plasma [PDF]
Journal of Astronomy and Space Sciences, 2006 Ion acoustic solitary wave in a plasma consisting of electrons and ions with an external magnetic field is reinvestigated using the Sagdeev's potential method.
C. R. Choi, D.-Y. Lee, Yonggi Kim
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