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Exactly Solvable Models in Mathematical Physics
August 3-8, 1998
South Ural State University
Chelyabinsk, Russia

Organizers
Anjan Kundu, Alexander B. Borisov, Arlen M. Il'in, Igor G. Korepanov, Vladimir E. Korepin, Yuri G. Stroganov

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On the integrability of nonabelian equations
by
Sergey Pavlovich Balandin
Ufa State Aircraft Technical University
Coauthors: Vladimir Vyacheslavovich Sokolov

The Painleve test shows that the first and the second Painleve equations remain integrable if we replace the scalar unknown function by a matrix one. The obtained formal solution is valid in the frameworks of any assotiative algebra, possessing the unit.

Date received: April 15, 1998

Copyright © 1998 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caaw-18.