Gelfand-Dickey算子分解,B cklund-Darboux变换及对称  

FACTORIZATION OF GELFAND\|DICKEY OPERATOR, B?CKLUND\|DARBOUX TRANSFORMATION AND SYMMETRY

作　　者：王宁[1] 

机构地区：[1]青岛海洋大学技术科学学院,青岛266003

出　　处：《物理学报》1999年第8期1394-1398,共5页Acta Physica Sinica

摘　　要：Explicit expressions of n Bcklund\|Darboux (BD) transformations and corresponding symmetries for generalized KdV (GKdV) equation, were constructed by using factorization of Gelfand\|Dickey operator. This extends Lous recent result about the BD transformations and non\|local symmetries for KdV, Kadomtsev\|Petviashvilli equations. As a by\|product, we also derive a representation of Wronskian determinant for the GKdV solution. PACC:Explicit expressions of n Bcklund\|Darboux (BD) transformations and corresponding symmetries for generalized KdV (GKdV) equation, were constructed by using factorization of Gelfand\|Dickey operator. This extends Lous recent result about the BD transformations and non\|local symmetries for KdV, Kadomtsev\|Petviashvilli equations. As a by\|product, we also derive a representation of Wronskian determinant for the GKdV solution. PACC: 0340K

关 键 词：GD算子 对称 BD变换 KDV方程 广义KDV方程 

分 类 号：O353.2[理学—流体力学] O175.24[理学—力学]