On the Bäcklund Transformation for the Moyal Korteweg-de Vries Hierarchy

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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9 pages, Revtex

Scientific paper

10.1088/0305-4470/34/44/104

We study the B\"acklund 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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