变系数KdV方程的孤子解  

Soliton-like solution for a variable coefficient KdV equation

作　　者：郭冠平[1] 

机构地区：[1]浙江师范大学教育科学与技术学院,浙江金华321004

出　　处：《商丘师范学院学报》2003年第2期16-18,共3页Journal of Shangqiu Normal University

基　　金：浙江师范大学校级科研基金资助项目(2001020)

摘　　要：利用特殊的截断展开方法求出了变系数KdV方程的孤子解.其基本思想是假定该方程的形式解具有 截断展开形式,以致可把变系数KdV方程转化为一组待定函数的方程组.进而给出待定函数容易积分的常微分方 程.By using of the special truncated expansion, the soliton-like generalixed KdV equation with variable coefficients is obtained. In this method, the form solution is assumed as the truncated expansion form which is based on the idea that the generalized KdV equation with variable coefficients is reduced to a set of algebraic e-quations of undetermined tunctions, so that we can obtain a set of ordinary defferential equations of undetermined functions which are easily integrated.

关 键 词：变系数KDV方程 孤子解 截断展开方法 变系数非线性方程 形式解 

分 类 号：O175.29[理学—数学] O241.82[理学—基础数学]