Abstract
This article is devoted to the study of the propagations of the nonlinear water waves on the shear flows. Assuming μ=kh is small andε/μ 2∼O(1), and the base flow is uniformly sheared, the modified Boussinesq equation is obtained. We calculate propagations of the single solitary wave with vorticity Γ=0,>0 and <0. The influences of the vorticity are manifested. At the end examples of the interactions of two solitary waves, moving in opposite and the same directions, are given. Besides the phase shift, there also occur second wavelets after head-on collision.
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References
Miles JW. Solitary waves.Annual Rev Fluid Mech, 1989, 11(12)
Mei Chiang C. The Applied Dynamics of Ocean Surface Waves. New York: John Wiley & Sons. 1989, 504–510
Rida M Mirie, SU CH. Collisions between two solitary waves (Part 2. A numerical study).JFM, 1982, 115: 475
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The project supported by the National Natural Science Foundation of China
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Yaosong, C., Guocan, L. & Tao, J. Non-linear water waves on shearing flows. Acta Mech Sinica 10, 97–102 (1994). https://doi.org/10.1007/BF02486579
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DOI: https://doi.org/10.1007/BF02486579