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

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

作　　者：苗宝军[1] 李雪臣[1] 

机构地区：[1]许昌学院数学科学学院,许昌461000

出　　处：《青岛理工大学学报》2011年第3期103-107,0-1,共5页Journal of Qingdao University of Technology

基　　金：河南省教育厅自然科学基金资助项目(2009A110016;2010A110019);河南省科技厅自然科学基金项目(112300410186);许昌学院科研项目(2011B043)

摘　　要：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.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.

关 键 词：广义Hirota-Satsuma COUPLED KDV方程组 (G′/G)-展开法 齐次平衡原则 精确行波解 

分 类 号：O175.2[理学—数学]