利用(G′/G)-展开法求解2+1维破裂孤子方程组

Solving (2+1)-dimensional Breaking Soliton System by (G′/G)-expansion Method

利用最近提出的(G′/G)-展开法,并借助于计算机代数系统Mathematica,获得了2+1维破裂孤子方程组丰富的显式行波解,分别以含两个任意参数的双曲函数、三角函数和有理函数表示,该方法也适用于其它非线性波方程(组)。

With the aid of symbolic computation system Mathematca and by using the (G′G)-expansion method proposed recently,abundant exact travelling wave solutions of the (2+1)-dimensional breaking soliton system are successfully obtained.The solutions are expressed by hyperbolic functions,trigonometric functions and rational functions containing double arbitrary parameters.The method can be also used to solve other nonlinear wave equations.