K(m,n,1)方程的紧支集精确解

Exact Solutions with Compact Support for K(m,n,1) Equation

对K(m,n,1)方程:ut+(um)x+(un)xxx+u5x=0进行了研究,建立了K(2,2,1)方程:ut+(u2)x+(u2)xxx+u5x=0和K(3,3,1)方程:ut+(u3)x+(u3)xxx+u5x=0的Adomian分解算法。我们借助于计算机代数系统Maple求得了K(2,2,1)和K(3,3,1)方程的紧支集精确解,在此基础上又给出更多其它形式的精确解。

K（ m, n, 1 ） equation ： u, ＋ （ u^m ） x ＋ （ u^n ）xxx ＋ u5x = 0 is studied, and Adomian decomposition schemes forK（2,2,1）eqution：ut ＋ （u^2）, ＋ （u^2）xxx ＋u5x =0 and K（3,3,1） equation：u1 ＋ （u^3）x ＋ （u^3）xxx ＋ u5x = 0 have been developed. Exact solutions with compact support for K（2,2,1 ）andK（ 3,3, 1 ） equations are obtained by the symbolic computation system,Maple. Then more exact solutions are presented by the authors.