In this paper,the exact solution of the following reaction-diffusing equation ut-auxx+b(u3+cu2+du)=0 are constructed by using a generalized homogeneous balance method. In particular,we obtain the solitary wave solutions.

• 用推广的齐次平衡方法求出了一类非线性发展方程ut-auxx+b(u3+cu2+du)=0(a；b；c；d为常数)的精确解表达式；从而物理上许多著名的方程；如:Chaffee-Infane方程；Huxley方程等；都可以作为该方程的特殊情形；并求得了相应的孤立波解.