带强迫项变系数组合KdV方程的有理展开式精确解  

Exact solution of rational expansion method to the variable coeffcient combined KdV equation with forced term

作　　者：刘娟[1] 

机构地区：[1]河南理工大学数学与信息科学学院,河南焦作454000

出　　处：《纯粹数学与应用数学》2012年第5期705-710,共6页Pure and Applied Mathematics

基　　金：国家自然科学基金(61104119)

摘　　要：利用符号计算软件Maple,在一个新的广义的Riccati方程有理展开法的帮助下,求出了带强迫项变系数组合KdV方程的有理展开式的精确解,该方法还可被应用到其他变系数非线性发展方程中去.With the aid of symbolic computation system Maple, several new kinds of generalized exact solutions for the variable coefficient combined KdV equation with forced term are obtained by using a new generalize Riccati equation rational expansion method. This approach can also be applied to other variable coefficient nonlinear evolution equations.

关 键 词：广义的Riccati方程有理展开法 变系数组合KdV方程 强迫项 类孤波解 

分 类 号：O175.2[理学—数学]