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MiS Preprint
142/2006

Noncommutative Integrable Systems and Diffeomorphism on Quantum Spaces

Partha Guha

Abstract

Following Aschieri et al. [Classical Quantum Gravity 22 (2005), no. 17, 3511--3532] construction of deformed algebra of diffeomorphism group the $\star$-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.

Received:
Dec 5, 2006
Published:
Dec 5, 2006
PACS:
02.40.Gh, 02.20.Uw
Keywords:
Vector field, deformed spaces, deformed diffeomorphisms

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inJournal
2007 Repository Open Access
Partha Guha

Noncommutative integrable systems and diffeomorphism on quantum spaces

In: Classical and quantum gravity, 24 (2007) 2, pp. 497-506