Integrable ordinary differential equations on free associative algebras

DOI10.1007/BF02551171zbMath0962.34004OpenAlexW1997943556WikidataQ61835413 ScholiaQ61835413MaRDI QIDQ1586690

Alexander V. Mikhailov, Vladimir Sokolov

Publication date: 23 November 2000

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02551171

zbMATH Keywords

Hamilton operatorrecursion operatoroperator algebranonlinear ordinary differential equationsinfinitesimal symmetriesfree associative algebra

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)

Related Items (1)

Around Van den Bergh’s double brackets for different bimodule structures

Cites Work

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• Integrable evolution equations on associative algebras
• A generalization of a theorem of Lie, and Jordan tops
• On the Painlevé test for non-abelian equations
• The symmetry approach to the classification of non-linear equations. Complete lists of integrable systems
• Non-abelian integrable systems of the derivative nonlinear Schrödinger type

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