两种广义的(G′/G)-展开法及其应用(英文)

Two Generalizations of the (G'/G)-Expansion Method and Their Applications

提出了两种广义的(G′/G)-展开法,利用该方法可以得到非线性发展方程的更多不同种类的精确解.作为应用,利用广义的方法得到了(2+1)维色散的长波方程和Broer-Kaup方程的新的非行波解.

Two generalizations of the （G′/G）- expansion method are proposed which result in more different types of exact solutions to nonlinear evolution equations. As applications, the new exact non--travelling wave solutions of the （2 ＋1） -- dimension dispersive long wave equations and the Broer--Kaup equations are obtained by using two generalized methods.