Boussinesq方程的新精确解

New exact solutions of the Boussinesq equations

通过改变待定函数的次序,对齐次平衡法进行了推广。利用这种推广的齐次平衡法,求得了1组Boussinesq方程的一些新精确解,其中包括孤立波解及由椭圆函数表达的周期解。所得到的解推广了庞小峰、刘式达等人研究的有关结果。

We generalize the homogenous balance method by changing the order of functions to be determined. Applying the generalized homogenous balance method, we obtain some new exact solutions to some Boussinesq type equations, which include solitary wave solutions and periodic solutions expressed by elliptic functions. We generalized the results in those of the past papers.