Travelling wave solutions for the generalized special type of the Tzitzeica-Dodd-Bullough equation. (English) Zbl 1199.35332
Summary: In this paper, we study the generalized special Tzitzeica-Dodd-Bullough equations and prove the existence of periodic travelling waves, unbounded travelling wave solutions, obtain some exact explicit parametric representations of the above travelling wave solutions by using the method of bifurcation theory of dynamical systems.
MSC:
35Q53 | KdV equations (Korteweg-de Vries equations) |
35C07 | Traveling wave solutions |
35B32 | Bifurcations in context of PDEs |