Bicomplexes and Backlund transformations
Exactly Solvable and Integrable Systems
2008-11-26 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.nlin/0104071,
title = {Bicomplexes and Backlund transformations},
author = {Aristophanes Dimakis and Folkert Muller-Hoissen},
journal= {arXiv preprint arXiv:nlin/0104071},
year = {2008}
}
Comments
Substantially revised version with several additions, 38 pages, to appear in J. Phys. A