Bifurcations and Exact Traveling Wave Solutions of a Generalized HD-Type Equation

In this paper, we investigate the dynamical behavior and exact traveling wave solutions of a generalized HD-type equation. By introducing a traveling wave transformation, the original equation is converted into a three-parameter planar dynamical system. The bifurcation phenomena of the phase portraits are investigated for different parameter regions. Furthermore, explicit parametric forms of various exact traveling wave solutions are derived from the bounded orbits of the planar system.