Bicomplexes and Backlund transformations

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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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Exactly Solvable and Integrable Systems, High Energy Physics - Theory, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/185778

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0104071
 http://arxiv.org/abs/nlin/0104071
 J.Phys.A34:9163-9194,2001
 doi:10.1088/0305-4470/34/43/306

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arXiv