Preprint 142/2006
Noncommutative Integrable Systems and Diffeomorphism on Quantum Spaces
Partha Guha
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Submission date: 05. Dec. 2006
Pages: 14
published in: Classical and quantum gravity, 24 (2007) 2, p. 497-506 
DOI number (of the published article): 10.1088/0264-9381/24/2/013
Bibtex
PACS-Numbers: 02.40.Gh, 02.20.Uw
Keywords and phrases: Vector field, deformed spaces, deformed diffeomorphisms
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Abstract:
Following Aschieri et al. [Classical Quantum Gravity 22
(2005), no. 17, 3511-3532] construction of deformed algebra of diffeomorphism group
the 
-deformed 
action on tensor densities
of arbitrary degree 
on a circle 
is studied.
We derive Noncommutative Korteweg-de Vries (KdV)
and Noncommutative Burgers equations in this method.