✦ LIBER ✦

On Computer-assisted Classification of Coupled Integrable Equations

✍ Scribed by Mikhail V. Foursov; Marc Moreno Maza

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 309 KB
Volume: 33
Category: Article
ISSN: 0747-7171
DOI: 10.1006/jsco.2002.0527

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✦ Synopsis

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.

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