On computer-assisted classification of coupled integrable equations

Authors:
Mikhail V. Foursov;Marc Moreno Maza
Affiliations:
ENSSAT de Lannion, 6 rue de Kérampont, 22305 Lannion Cedex, France;Université Lille 1, LIFL, 59655 Villeneuve d'Ascq, France
Venue:
Journal of Symbolic Computation - Computer algebra: Selected papers from ISSAC 2001
Year:
2002

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Abstract

We show how the triangularization method of Moreno Maza can be successfully applied to the problem of classification of homogeneous coupled integrable equations. The classifications rely on the recent algorithm developed by Foursov that requires solving 17 systems of polynomial equations. We show that these systems can be completely resolved in the case of coupled Korteweg-de Vries, Sawada-Kotera and Kaup-Kupershmidt-type equations.