Reductions and conserved quantities for discrete compound KdV-Burgers equations  

作　　者：何玉芳 刘咏松 傅景礼 

机构地区：[1]Institute of Mathematical Physics,Zhejiang Sci-Tech University

出　　处：《Chinese Physics B》2011年第1期50-56,共7页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant Nos.11072218and10672143)

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.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.

关 键 词：discrete compound KdV-Burgers equation SYMMETRY REDUCTION INVARIANT 

分 类 号：O411.1[理学—理论物理] O175[理学—物理]