Abstract
In this paper, the integral bifurcation method combined with computer methods was used to study a higher order wave equation of KdV type. Under different parameter conditions, many integral bifurcations are obtained. By these integral bifurcations, using the software Maple, we have obtained many exact travelling wave solutions such as periodic soliton solutions and periodic cusp wave solutions, solitary wave solutions, and solitary cusp wave solutions.
Acknowledgements
This research was supported by the Scientific Foundation of Educational Department of Yunnan Province (06Y147A), the Natural Science Foundation of Yunnan Province (2007A080M), and the Natural Science Foundation of China (10571062).