摘要
将文献[30]中所提出的求非线性演化方程精确解的新方法进行推广,求得了非线性数学物理中几个非常重要的非线性演化方程的精确解,包括一般形式的行波解、正则孤波解、奇异行波解等。本方法也可用于求解其它非线性演化方程。
In this paper, we extend a new method for constructing the exact solutions of nonlinear evolution equations proposed in Ref. [30] to derive some exact solutions, including the general traveling wave solutions, the analytical solitary wave solutions and the singular traveling wave solutions, of a few very important nonlinear evolution equations in nonlinear mathematical physics. The approach used herein can be employed to solve other nonlinear evolution equations in nonlinear mathematical physics.
出处
《湖南理工学院学报（自然科学版）》
CAS
2007年第3期50-55,共6页
Journal of Hunan Institute of Science and Technology(Natural Sciences)
关键词
试探函数
非线性演化方程
精确解
trial function
nonlinear evolution equation
exact solution
