Reductions and conserved quantities for discrete compound KdV-Burgers equations

作     者：何玉芳 刘咏松 傅景礼 

作者机构：Institute of Mathematical PhysicsZhejiang Sci-Tech University 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2011年第20卷第1期

页      面：50-56页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 0701[理学-数学] 

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

主　　题：discrete compound KdV-Burgers equation symmetry reduction invariant 

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.