General solution for interaction of solitary waves including head-on collisions |
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Authors: | Chia-Shun Yih Theodore Yao-tsu Wu |
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Institution: | (1) The University of Michigan, 48109 Ann Arbor, Michigan, USA;(2) California Institute of Technology, 91125 Pasadena, Calif., USA |
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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. |
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Keywords: | solitary waves Boussinesq equation head-on collision |
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