摘要
In this paper,the generalized Boussinesq wave equation u tt-uxx+a(um) xx+buxxxx=0 is investigated by using the bifurcation theory and the method of phase portraits analysis.Under the different parameter conditions,the exact explicit parametric representations for solitary wave solutions and periodic wave solutions are obtained.
基金
Supported by the National Natural Science Foundation of China under Grant No. 10974160
the Scientific Research Foundation of the Education Department of Sichuan Province of China under Grant No. 10ZA004