• Multiple rogue wave solutions of a generalised Hietarinta-type equation

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      https://www.ias.ac.in/article/fulltext/pram/095/0151

    • Keywords

       

      Multiple rogue wave solutions; bilinear method; Hietarinta-type equation; symbolic computation

    • Abstract

       

      In this paper, multiple rogue wave solutions of a generalised Hietarinta-type fourth-order equation in (2 + 1)-dimensional dispersive waves were studied by applying the bilinear method. We obtained its 1-rogue wave, 3-rogue wave and 6-rogue wave solutions. Similarly, their corresponding maps which can finely explain their physical structure and properties were graphically shown through symbolic computation approach. It is obvious that the centre of the 3-rogue wave possesses a triangular structure while 6-rogue wave has a hexagon structure and they are made of three and six independent 1-rogue waves, respectively. Furthermore, the results obtained have immensely augmented the exact solutions of the generalised Hietarinta-type equation on the available literature and enabled us to understand the nonlinear dynamic system deeply.

    • Author Affiliations

       

      YUEYANG FENG1 SUDAO BILIGE1

      1. Department of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, People’s Republic of China
    • Dates

       
  • Pramana – Journal of Physics | News

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