A remark on nonlocal symmetries for the Calogero-Degasperis-Ibragimov-Shabat equation

Details A remark on nonlocal symmetries for the Calogero-Degasperis-Ibragimov-Shabat equation A remark on nonlocal symmetries for the Calogero-Degasperis-Ibragimov-Shabat equation

2003-09-05

arxiv.org/abs/nlin/0309023v1

J. Nonlinear Math. Phys., volume 10, no. 1 (2003) 78-85

Nonlinear Sciences

Exactly Solvable and Integrable Systems

arxiv version is already official

Scientific paper

We consider the Calogero-Degasperis-Ibragimov-Shabat (CDIS) equation and find
the complete set of its nonlocal symmetries depending on the local variables
and on the integral of the only local conserved density of the equation in
question. The Lie algebra of these symmetries turns out to be a central
extension of that of local generalized symmetries.

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