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WEAKLY NON-ASSOCIATIVE ALGEBRAS AND THE KADOMTSEV–PETVIASHVILI HIERARCHY

Published online by Cambridge University Press:  01 February 2009

ARISTOPHANES DIMAKIS  and
FOLKERT MÜLLER-HOISSEN
ARISTOPHANES DIMAKIS
Affiliation:
Department of Financial and Management Engineering, University of the Aegean, 31 Fostini Str., GR-82100 Chios, Greece e-mail: dimakis@aegean.gr
FOLKERT MÜLLER-HOISSEN
Affiliation:
Max-Planck-Institute for Dynamics and Self-Organization, Bunsenstrasse 10, D-37073 Göttingen, Germany e-mail: folkert.mueller-hoissen@ds.mpg.de
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Abstract

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On any ‘weakly non-associative’ algebra there is a universal family of compatible ordinary differential equations (provided that differentiability with respect to parameters can be defined), any solution of which yields a solution of the Kadomtsev–Petviashvili (KP) hierarchy with dependent variable in an associative sub-algebra, the middle nucleus.

Keywords

37K10 17Axx
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 51 , Issue A , February 2009 , pp. 49 - 57
Copyright
Copyright © Glasgow Mathematical Journal Trust 2009

References

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