广义特殊Tzitzeica-Dodd-Bullough类型方程的行波解

摘要

本文研究了广义特殊Tzitzeica-Dodd-Bullough类型方程,利用动力系统分支理论方法,证明该方程存在周期行波解,无界行波解和破切波解,并求出了一些用参数表示的显示精确行波解.%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, using the method of bifurcation theory of dynamical systems.