On the Bäcklund Transformation for the Moyal Korteweg-de Vries Hierarchy
Ming-Hsien Tu
Abstract
We study the Bäcklund symmetry for the Moyal Korteweg-de Vries (KdV) hierarchy based on the Kuperschmidt-Wilson Theorem associated with second Gelfand-Dickey structure with respect to the Moyal bracket, which generalizes the result of Adler for the ordinary KdV.
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