一类广义Hirota-Satsuma Coupled KdV系统的新精确行波解

利用新近提出的（G′/G）-展开法,借助齐次平衡方法的思想原则和吴文俊消元法,对一类Hirota-Sat-suma Coupled KdV方程进行研究,获得了该系统的含有多参数的双曲函数、三角函数和有理函数表示的三种形式的精确通解.从求方程组精确行波解的过程看,此方法不仅是求解非线性发展方程行波解的一种简捷和有效的方法,而且也可以用来求解其他的许多非线性发展方程的精确行波解.

A New Exact Travelling Solution to a Kind of the Generalized Hirota-Satsuma Coupled KdV System

With the aid of the idea principle of the homogeneous balance method and Wu Wen-jun elimination element method,by using the（G′/G）-expansion method proposed more recently,the new exact solutions with some arbitrary parameters are obtained,which include hyperbolic function solutions,trigonometric function solutions and rational solutions.A kind of the generalized Hirota-Satsuma Coupled KdV equations is investigated.From the investigating process of the exact travelling wave solutions of the equations,the expansion method is not only a concise and effect method for solving the travelling solutions of non-linear evolution equations,but also used for exact travelling wave solutions of the other non-linear evolution equations.