English

On one-parametric families of Backlund transformations

Exactly Solvable and Integrable Systems 2007-05-23 v1 High Energy Physics - Theory Mathematical Physics Differential Geometry math.MP

Abstract

In the context of the cohomological deformation theory, infinitesimal description of one-parametric families of Backlund transformations of special type including classical examples is given. It is shown that any family of such a kind evolves in the direction of a nonlocal symmetry shadow.

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Cite

@article{arxiv.nlin/0010040,
  title  = {On one-parametric families of Backlund transformations},
  author = {Sergei Igonin and Joseph Krasil'shchik},
  journal= {arXiv preprint arXiv:nlin/0010040},
  year   = {2007}
}