【摘要】 将王明亮等人提出的一种新方法-(G′/G)扩展法推广到高维的非线性演化方程。作为其应用的一个例子,获得(2+1)维Konopelchenko-Dubovsky方程带有任意参数形式的双曲函数解,三角函数解和有理数解,通过适当选择的参数,很多已知的解能被重新得到。本扩展方法可以进一步应用到其它一大批高维的非线性演化方程。更多还原

【Abstract】 The new method—(G′/G) expansion method-proposed by Wang Ming-liang and others is promoted to high-dimensional nonlinear evolution equation.As an example in application,the hyperbolic function solution,trigonometric function solution and rational number solution are worked out for(2+1)-dimensional Konopelchenk-Dubovsky equation with any parameters.If the parameter is properly selected,many known solutions can be re-gained.This expansion method can be further applied to many othey high-dimensional nonlinear evolution equations.更多还原