Bicomplexes and Backlund transformations
arXiv:nlin/0104071 · doi:10.1088/0305-4470/34/43/306
Abstract
A bicomplex is a simple mathematical structure, in particular associated with completely integrable models. The conditions defining a bicomplex are a special form of a parameter-dependent zero curvature condition. We generalize the concept of a Darboux matrix to bicomplexes and use it to derive Backlund transformations for several models. The method also works for Moyal-deformed equations with a corresponding deformed bicomplex.
Substantially revised version with several additions, 38 pages, to appear in J. Phys. A
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