1. Home
    2. Journals
    3. Pramana – Journal of Physics
    4. Volume 71
    5. Issue 1

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

      Aiyong Chen Zhongjun Ma

      Research Articles Volume 71 Issue 1 July 2008 pp 57-63

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      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

       
      Published
      July 2008
      Manuscript received
      22 September 2007
      Accepted
      17 March 2008

  • Pramana – Journal of Physics | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2022-2023 Indian Academy of Sciences, Bengaluru.

Contact | Site index