物理学报2012，Vol.61Issue(6)：1-11,11.
第二类变系数KdV方程的新类型无穷序列精确解
New type infinite sequence exact solutions of the second KdV equation with variable coefficients
摘要
Abstract
To construct a number of new infinite sequence exact solutions of nonlinear evolution equations and to study the two characteristics of constructivity and mechanicalness of the first kind of elliptic equation,new types of solutions and the corresponding Backlund transformation of the equation are presented.Then the second kind of KdV equation with variable coefficients is chosen as a practical example and three kinds of new infinite sequence exact solutions are obtained with the help of symbolic computation system Mathematica, where are included the smooth soliton-like solutions,the infinite sequence peak soliton solutions,and the infinite sequence compact soliton solutions.The method can be used to search for new infinite sequence exact solutions of other nonlinear evolution equations with variable coefficients.关键词
第一种椭圆辅助方程/Bcklund变换/变系数非线性发展方程/无穷序列新精确解Key words
the first kind of elliptic equation/Backlund transformation/nonlinear evolution equation with variable coefficients/new infinite sequence exact solutions分类
数理科学引用本文复制引用
套格图桑,白玉梅..第二类变系数KdV方程的新类型无穷序列精确解[J].物理学报,2012,61(6):1-11,11.基金项目
国家自然科学基金 （）
内蒙古自治区高等学校科学研究基金 （）
内蒙古自治区自然科学基金（批准号：2010MS0111）资助的课题 （）
