Using some positive solutions of the ODE,the solutions of the generalized BBM equation are obtained,which are the bell type solitary wave solution,the kink type solitary wave solution,and the sinusoidal traveling wave solution.

• 并利用一阶四次常微分方程的部分正精确解求得含有任意次正幂项非线性广义BBM方程的一些精确解,包括钟状孤波解、扭状孤波解以及用三角函数表示的周期解。