super-Gel’fand-Dickey算子,Backlund Darboux变换及对称

SUPER-GEL'FAND-DICHEY OPERATOR,BACKLUND-DARBOUX TRANSFORMATION AND SYMMETRY

给出了super Gel’fand Dickey算子的Kuperschimdt Wilson辅助动力学变量的行列式表示形式 .利用算子分解导出了super Generalized KdV方程 2n— 1个Backlund Darboux变换及对应的对称的精确形式 .

A determinant representation of Kuperschimdt-Wilson auxiliary variables for super Gel'fand Dichey operator is given. The explicit expressions of 2 n -1 Backlund Darboux transformations and corresponding symmetries for super generalized KdV (sGKdV) equation, were constructed by using factorization of the operator.