物理学报2011，Vol.60Issue(9)：1-12,12.
第二种椭圆方程构造变系数非线性发展方程的无穷序列新精确解
New infinite sequence exact solutions of nonlinear evolution equations with variable coefficients by the second kind of elliptic equation
摘要
Abstract
In the paper, to construct new infinite sequence exact solutions of nonlinear evolution equations, several kinds of new solutions of the second kind of elliptic equation Backlund transformation are proposed. The KdV equation containing variable coefficients and forcible term, combined with （2 ＋ 1 ） -dimensional and （3 ＋ 1 ） -dimensional Zakharov-Kuznetsov equation with variable coefficients is taken as example to construct new infinite sequence exact solutions of these equations with the help of symbolic computation system Mathematica, which include infinite sequence compact soliton solutions of Jacobi elliptic function and triangular function, and infinite sequence peak soliton solutions.关键词
第二种椭圆方程/Backlund变换/变系数非线性发展方程/无穷序列新精确解Key words
the second kind of elliptic equation/Backlund transformation/nonlinear evolution equation with variable coefficients/new infinite sequence exact solution分类
数理科学引用本文复制引用
套格图桑,那仁满都拉..第二种椭圆方程构造变系数非线性发展方程的无穷序列新精确解[J].物理学报,2011,60(9):1-12,12.基金项目
国家自然科学基金（批准号：10862003）,内蒙古自治区高等学校科学研究基金（批准号：NJZZ07031）和内蒙古自治区自然科学基金（批准号：2010MS0111）资助的课题. （）
