• Inclined periodic homoclinic breather and rogue waves for the (1+1)-dimensional Boussinesq equation

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    • Keywords


      Homoclinic breather limit; rational homoclinic wave; rogue wave; Boussinesq equation.

    • Abstract


      A new method, homoclinic (heteroclinic) breather limit method (HBLM), for seeking rogue wave solution to nonlinear evolution equation (NEE) is proposed. (1+1)-dimensional Boussinesq equation is used as an example to illustrate the effectiveness of the suggested method. Rational homoclinic wave solution, a new family of two-wave solution, is obtained by inclined periodic homoclinic breather wave solution and is just a rogue wave solution. This result shows that rogue wave originates by the extreme behaviour of homoclinic breather wave in (1+1)-dimensional nonlinear wave fields.

    • Author Affiliations


      Zhengde Dai1 Chuanjian Wang2 Jun Liu3

      1. School of Mathematics and Physics, Yunnan University, Kunming 650091, People’s Republic of China
      2. School of Science, Kunming University of Science and Technology, Kunming 650031, People’s Republic of China
      3. Department of Mathematics and Information Science, Qujing Normal University, Qujing 655000, People’s Republic of China
    • Dates

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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