Bifurcation of travelling wave solutions for (2+1)-dimension nonlinear dispersive long wave equation

Abstract

In this paper, the bifurcation of solitary, kink, anti-kink, and periodic waves for (2+1)-dimension nonlinear dispersive long wave equation is studied by using the bifurcation theory of planar dynamical systems. Bifurcation parameter sets are shown, and under various parameter conditions, all exact explicit formulas of solitary travelling wave solutions and kink travelling wave solutions and periodic travelling wave solutions are listed.