Reductions and conserved quantities for discrete compound KdV-Burgers equations

被引：0
|
作者：
何玉芳 [1 ]
刘咏松 [1 ]
傅景礼 [1 ]
机构：
[1] Institute of Mathematical Physics,Zhejiang Sci-Tech University
来源：
Chinese Physics B | 2011年 / 20卷 / 01期
基金：
中国国家自然科学基金;
关键词：
discrete compound KdV-Burgers equation; symmetry; reduction; invariant;
D O I：
暂无
中图分类号：
O411.1 [数学物理方法]; O175 [微分方程、积分方程];
学科分类号：
0701 ; 070104 ;
摘要：
We present two methods to reduce the discrete compound KdV-Burgers equation,which are reductions of the independent and dependent variables:the translational invariant method has been applied in order to reduce the independent variables;and a discrete spectral matrix has been introduced to reduce the number of dependent variables.Based on the invariance of a discrete compound KdV-Burgers equation under infinitesimal transformation with respect to its dependent and independent variables,we present the determining equations of transformation Lie groups for the KdV-Burgers equation and use the characteristic equations to obtain new forms of invariants.
引用
收藏
页码：54 / 60
页数：7
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