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General solution for interaction of solitary waves including head-on collisions

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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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Authors and Affiliations

  1. The University of Michigan, 48109, Ann Arbor, Michigan, USA

    Chia-Shun Yih

  2. California Institute of Technology, 91125, Pasadena, Calif., USA

    Theodore Yao-tsu Wu

Authors
  1. Chia-Shun Yih
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  2. Theodore Yao-tsu Wu
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Yih, CS., Yao-tsu Wu, T. General solution for interaction of solitary waves including head-on collisions. Acta Mech Sinica 11, 193–199 (1995). https://doi.org/10.1007/BF02487722

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  • DOI: https://doi.org/10.1007/BF02487722

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