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International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 17, Pages 2735-2747
http://dx.doi.org/10.1155/IJMMS.2005.2735

On Lax pairs and matrix extended simple Toda systems

Department of Mathematical Sciences, University of Alberta, AB, Edmonton T6G 2G1, Canada

Received 17 November 2004; Revised 17 June 2005

Copyright © 2005 Hindawi Publishing Corporation

Abstract

A A1 Toda system is extended via Lax pair formulations in order to probe noncommutative variables extensions. Systems, some solvable, are built using matrix generalizations.