General solution for interaction of solitary waves including head-on collisions |
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Authors: | Chia-Shun Yih |
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Institution: | (1) The University of Michigan, 48109-2125 Ann Arbor, Michigan, USA |
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Abstract: | A general solution of the Boussinesq equation is presented which solves the problem of interaction of any number of right-going
and left-going solitary waves. The solution relies on the exact solution of Gardner, Greene, Kruskal, and Miura (1967), and
has the same degree of accuracy as that solution, but has a wider scope of application. It is much simpler than, but as accurate
as, Hirota's exact solution (1973) of the Boussinesq equation, to which the present solution is compared for the simplest
case of two solitary waves in head-on collision. |
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Keywords: | interaction of solitary waves head-on collisions KdV equation Boussinesq equation |
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