Noncommutative integrable systems and diffeomorphism on quantum spaces

Physics

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Scientific paper

Following Aschieri et al's (2005 Class. Quantum Grav. 22 3511 32), construction of the deformed algebra of a diffeomorphism group, the sstarf-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.

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