• Multiple periodic-soliton solutions of the (3 + 1)-dimensional generalised shallow water equation

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      https://www.ias.ac.in/article/fulltext/pram/090/06/0071

    • Keywords

       

      Interactions; periodic-soliton solutions; (3 + 1)-dimensional generalised shallow water equation

    • Abstract

       

      Based on the extended variable-coefficient homogeneous balance method and two newansätz functions, we construct auto-Bäcklund transformation and multiple periodic-soliton solutions of (3+1)-dimensional generalised shallowwater equations.Completely newperiodic-soliton solutions including periodic cross-kinkwave, periodic two-solitary wave and breather type of two-solitary wave are obtained. In addition, cross-kink three-soliton and cross-kink four-soliton solutions are derived. Furthermore, propagation characteristics and interactions of the obtained solutions are discussed and illustrated in figures.

    • Author Affiliations

       

      YE-ZHOU LI1 JIAN-GUO LIU1 2

      1. School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China
      2. College of Computer, Jiangxi University of Traditional Chinese Medicine, Nanchang 330004, Jiangxi, China
    • Dates

       
  • Pramana – Journal of Physics | News

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