ENVELOPE SOLITONS, PERIODIC WAVES AND OTHER SOLUTIONS TO BOUSSINESQ-BURGERS EQUATION

摘要

This paper retrieves the topological soliton and cnoidal wave solutions to the Boussinesq-Burgers equations. By using the Jacobi elliptic function method, we find the exact periodic solutions for the considered model. Exact travelling wave solutions which include new envelope solitary and shock wave solutions are obtained. The conditions of the existence of the derived solutions are presented.