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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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On the evolution and runup of a train of solitary waves on a uniform beach
Coastal Engineering, 2021Yun-Ta Wu, Pablo Higuera, Philip Lf Liu
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Solitary shock waves and other travelling waves in a general compressible hyperelastic rod
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2000Hui-Hui Dai
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Dynamics of the breathers, rogue waves and solitary waves in the (2+1)-dimensional Ito equation
Applied Mathematics Letters, 2017Xiu-Bin Wang +2 more
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