Backlund Transformations for Darboux Integrable Differential Systems

Published 27 Aug 2011 in math.DG | (1108.5443v2)

Abstract: We give a new mechanism for constructing Backlund transformations by using symmetry reduction of differential systems. We then characterize a family of Backlund transformations between Darboux integrable systems where the Backlund transformation can be constructed by the proposed symmetry reduction method.

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