Periodic Wave and Rational Soliton Solutions of the Benjamin-Ono Equation

  • Satsuma Junkichi
    Department of Applied Mathematics and Physics, Faculty of Engineering, Kyoto University
  • Ishimori Yuji
    Department of Applied Mathematics and Physics, Faculty of Engineering, Kyoto University

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  • Periodic Wave and Rational Soliton Solu

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An exact solution describing a multiple collision of periodic waves is obtained for the Benjamin-Ono equation. It is shown that the solution reduces to the rational multi-soliton solution in a long wave limit.

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