等谱与非等谱Kaup-Newell方程簇的B(a|¨)cklund变换

B(?)cklund Transformations for the Isospetral and Non-isospectral Kaup-Newell Hierarchies

从Kaup-Newell方程簇的Lax对出发,经变换使之成为Riccati型的Lax对,从而得到对应于这些方程簇的广义Miura变换。利用这些广义Miura变换的某类不变性,得到了等谱与非等谱Kaup-Newell方程簇的B(?)cklund变换。

By transforming the Lax pairs of the Kaup-Newell hierarchies to the Riccati forms, the generalized Miura transtormations for the isospectral and non-isospectral Kaup-Newell hierarchies are obtained, and by using some invariant properties of these generalized Miura transformations the Backlund transformations for the isospectral and non-isospectral Kaup-NeweU hierarchies are obtained.