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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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Solitary waves in dispersive media
Il Nuovo Cimento B, 2004The problem of solitary-wave propagation in composite elastic material is considered and solved. The linear equations, in the presence of a dispersive propagation law, give rise to nonlinear effects as the breaking-down of the wave into two modes propagating with different phase velocities.
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On the Highest and Other Solitary Waves
SIAM Journal on Applied Mathematics, 1975For solitary waves an expansion parameter which differs from those previously employed permits calculation to extremely high order. The observed behavior of the coefficients entering the power series for the position or velocity field yields much information about the nature of singularities in the solution.
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Experimental study on solitary wave attenuation by emerged vegetation in currents
Ocean Engineering, 2021Jun Tang, Yongming Shen
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New type of solitary wave solution with coexisting crest and trough for a perturbed wave equation
Nonlinear Dynamics, 2021Lijun Zhang +2 more
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Solitary wave solutions of hierarchy with non-local nonlinearity
Applied Mathematics Letters, 2020Nikolay A Kudryashov
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The study on solitary waves generated by a piston-type wave maker
Ocean Engineering, 2016Nan-Jing Wu +2 more
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