Explicit expressions of n Bcklund\|Darboux (BD) transformations and corresponding symmetries for generalized KdV (GKdV) equation, were constructed by using factorization of Gelfand\|Dickey operator. This extends Lou...Explicit expressions of n Bcklund\|Darboux (BD) transformations and corresponding symmetries for generalized KdV (GKdV) equation, were constructed by using factorization of Gelfand\|Dickey operator. This extends Lous 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:展开更多
文摘Explicit expressions of n Bcklund\|Darboux (BD) transformations and corresponding symmetries for generalized KdV (GKdV) equation, were constructed by using factorization of Gelfand\|Dickey operator. This extends Lous 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:
