Resumen de Traveling Wave Solutions of a Generalized Burgers-αβ Equation
Wenjing Zhu, Yonghui Xia
In this paper, we investigate the bifurcations and exact traveling wave solutions of a generalized Burgers-αβ equation. Employing the bifurcation theory of planar dynamical system, we obtain the phase portraits of the corresponding traveling wave system. The existence of the singular straight line ϕ=c leads to the dynamical behavior of solutions with two scales. Corresponding to some special level curves, we give the exact explicit parametric representations of smooth and non-smooth solutions under different parameter conditions, including solitary wave solutions and peakon solutions.
