Noncommutative integrable systems and diffeomorphism on quantum spaces

摘要

Following Aschieri et al's ( 2005 Class. Quantum Grav. 22 3511 - 32), construction of the deformed algebra of a diffeomorphism group, the *- deformed Vect(S-1) action on tensor densities of arbitrary degree lambda on a circle S-1 is studied. We derive noncommutative Korteweg-de Vries ( KdV) and noncommutative Burgers equations in this method.