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General solution for interaction of solitary waves including head-on collisions
Authors:Chia-Shun Yih  Theodore Yao-tsu Wu
Institution:(1) The University of Michigan, 48109 Ann Arbor, Michigan, USA;(2) California Institute of Technology, 91125 Pasadena, Calif., USA
Abstract:A corrected version of the Boussinesq equation for long water waves is derived and its general solution for interaction of any number of solitary waves, including head-on collisions, is given. For two solitary waves in head-on collision (which includes the case of normal reflection) the results agree with the experiments known.
Keywords:solitary waves  Boussinesq equation  head-on collision
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