Seminar talk, 7 April 2010: Difference between revisions
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| speaker = Stanislav Minkov | | speaker = Stanislav Minkov | ||
| title = Recursion operator for the intrinsic generalized sine-Gordon equation | | title = Recursion operator for the intrinsic generalized sine-Gordon equation | ||
| abstract = The talk discusses results from the paper by [[Michal Marvan]] and M. Pobořil | | 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, [http://mi.mathnet.ru/eng/fpm1008 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. | 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. | ||
Latest revision as of 14:16, 18 March 2010
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.