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arxiv: nlin/0010040 · v1 · submitted 2000-10-25 · 🌊 nlin.SI · hep-th· math-ph· math.DG· math.MP

On one-parametric families of Backlund transformations

classification 🌊 nlin.SI hep-thmath-phmath.DGmath.MP
keywords backlundfamiliesone-parametrictransformationsclassicalcohomologicalcontextdeformation
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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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