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

Abstract

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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Cited by in corpus (4)

• On the geometry of lambda-symmetries, and PDEs reduction
• On the relation between standard and $\mu$-symmetries for PDEs
• On nonlocal symmetries, nonlocal conservation laws and nonlocal transformations of evolution equations
• Representations of sl(2,C) in the BGG category O and master symmetries