SOLUTIONS TO A CLASS OF NONLINEAR WAVE EQUATIONS

The Burgers equation, KdV equation and Burgers-KdV equation are real physical modes concerning many branches in physics. In this paper, rich types of explicit and exact travelling wave solutions for these three equations, including the solitary wave solutions, the singular travelling wave solutions, the triangle function periodic wave solutions, etc., are presented by a direct trial function approach. Among them, some are new travelling wave solutions.