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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, Canada T6G 2G1

Received 17 November 2004; Revised 17 June 2005

Copyright © 2005 M. Legaré. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.