Noncommutative integrable systems and diffeomorphism on quantum spaces

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Following Aschieri et al's (2005 Class. Quantum Grav. 22 3511-32), construction of the deformed algebra of a diffeomorphism group, the -deformed Vect(S1) action on tensor densities of arbitrary degree λ on a circle S1 is studied. We derive noncommutative Korteweg-de Vries (KdV) and noncommutative Burgers equations in this method.

Original languageBritish English
Article number013
Pages (from-to)497-506
Number of pages10
JournalClassical and Quantum Gravity
Issue number2
StatePublished - 21 Jan 2007


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