• Localized structures for $(2+1)$-dimensional Boiti–Leon–Pempinelli equation

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      https://www.ias.ac.in/article/fulltext/pram/081/03/0367-0376

    • Keywords

       

      Rogue waves; Painlevé test; a singular manifold method; soliton.

    • Abstract

       

      It is shown that Painlevé integrability of $(2+1)$-dimensional Boiti–Leon–Pempinelli equation is easy to be verified using the standard Weiss–Tabor–Carnevale (WTC) approach after introducing the Kruskal’s simplification. Furthermore, by employing a singular manifold method based on Painlevé truncation, variable separation solutions are obtained explicitly in terms of two arbitrary functions. The two arbitrary functions provide us a way to study some interesting localized structures. The choice of rational functions leads to the rogue wave structure of Boiti–Leon–Pempinelli equation. In addition, for the other choices, it is observed that two solitons may evolve into breather after interaction. Also, the interaction between two kink compactons is investigated.

    • Author Affiliations

       

      Gui Mu1 Zhengde Dai2 Zhanhui Zhao3

      1. College of Mathematics and Information Science, Qujing Normal University, Qujing 655011, People’s Republic of China
      2. School of Mathematics and Statistics, Yunnan University, Kunming 650091, People’s Republic of China
      3. Department of Information and Computing Science, Guangxi Institute of Technology, Liuzhou, Guangxi 545005, People’s Republic of China
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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