a School of Informatics and Electronics, Zhejiang Institute of Science and Technology, Hangzhou 310033, China
b School of Science, Kunming University of Science and Technology, Kunming 650093, China
Abstract:
By using the theory of planar dynamical systems to a coupled non-linear wave equation, the existence of solitary wave solutions and uncountably infinite, many smooth and non-smooth, periodic wave solutions is obtained. Under different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions are given.