Seminar talk, 7 April 2010

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Speaker: Stanislav Minkov

Title: Recursion operator for the intrinsic generalized sine-Gordon equation

Abstract:
The talk discusses results from the paper by Michal Marvan and M. Pobořil by the sama title (J. Math. Sci. (N. Y.) 151 (2008) 3151–3158, arXiv:nlin/0605015; Russian original: Fundam. Prikl. Mat. 12:7 (2006) 117-128, Mi fpm1008), on a recursion operator for the intrinsic generalized sine-Gordon equation. Higher symmetries of this equations are not known, but the use of generalized (in the sense of Guthrie) recursion operators allows to compute a local flow of third order similar to KdV, which hopefully is an evolution system.

The message of the Marvan and Pobořil work is in a concrete demonstration of existence of a nontrivial recursion operator under Guthrie’s definition in any dimension.

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