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

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: