• Bifurcation methods of dynamical systems for generalized Kadomtsov-Petviashvili-Benjamin-Bona-Mahony equation

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      https://www.ias.ac.in/article/fulltext/pram/071/01/0057-0063

    • Keywords

       

      Compacton solution; periodic wave solution; periodic cusp wave solution; generalized KP-BBM equation.

    • Abstract

       

      By applying the bifurcation theory of dynamical system to the generalized KP-BBM equation, the phase portraits of the travelling wave system are obtained. It can be shown that singular straight line in the travelling wave system is the reason why smooth periodic waves converge to periodic cusp waves. Under different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions are given. Some exact explicit parametric representations of the above waves are obtained.

    • Author Affiliations

       

      Aiyong Chen1 Zhongjun Ma1

      1. School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, People's Republic of China
    • Dates

       
  • Pramana – Journal of Physics | News

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