• Jibin Li

      Articles written in Proceedings – Mathematical Sciences

    • Dynamics and Bifurcations of Travelling Wave Solutions of $R(m, n)$ Equations

      Dahe Feng Jibin Li

      More Details Abstract Fulltext PDF

      By using the bifurcation theory and methods of planar dynamical systems to $R(m, n)$ equations, the dynamical behavior of different physical structures like smooth and non-smooth solitary wave, kink wave, smooth and non-smooth periodic wave, and breaking wave is obtained. The qualitative change in the physical structures of these waves is shown to depend on the systemic parameters. Under different regions of parametric spaces, various sufficient conditions to guarantee the existence of the above waves are given. Moreover, some explicit exact parametric representations of travelling wave solutions are listed.

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