%0 Journal Article %T GROUP ANALYSIS OF KDV-BURGERS-KURAMOTO EQUATION-ALLOWED TRANSFORMATIONS AND SYMMETRY GROUPS
变系数KdV-Burgers-Kuramoto方程的群论分析——容许变换及对称群 %A YAN Zhenya %A XIE Fuding %A
闫振亚 %A 谢福鼎 %J 系统科学与数学 %D 2009 %I %X The allowed transformations of the variable coefficient KdV-Burgers-Kuramoto (VCKdVBK) equation $u_t+f(x,t)uu_x+g(x,t)u_{xx}+h(x,t) u_{xxx}+k(x,t)u_{xxxx}=0$ are obtained, which leave the form invariant but possibly changing the coefficients $f,g, h$ and $k$. Based on the different types of the allowed transformations, Seven types of equivalence classes are found. Finally, Lie point symmetry groups of the VCKdVBK equation are also considered. %K VCKdVBK equation %K allowed transformations %K equivalence class %K Lie point symmetry group
VCKdVBK方程 %K 容许变换 %K 等价类 %K Lie点对称群. %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=97CDFCBDF57C40403BA3BDEFD1D745D0&yid=DE12191FBD62783C&vid=771469D9D58C34FF&iid=9CF7A0430CBB2DFD&sid=8BD5F6E1A80D50C6&eid=9A3A88A3A0B8496C&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=13