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Teoreticheskaya i Matematicheskaya Fizika, 2000, Volume 122, Number 1, Pages 88–101
DOI: https://doi.org/10.4213/tmf557 (Mi tmf557) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Integrable ordinary differential equations on free associative algebras

A. V. Mikhailovab, V. V. Sokolovc

a L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
b University of Leeds
c Landau Institute for Theoretical Physics, Centre for Non-linear Studies
Full-text PDF (252 kB) Citations (11)
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DOI: https://doi.org/10.4213/tmf557
Abstract: We consider a classification problem for integrable nonlinear ordinary differential equations with an independent variable belonging to a free associative algebra $\mathcal M$. Every equation of this type admits an $m\times m$ matrix reduction for an arbitrary $m$. The existence of symmetries or first integrals belonging to $\mathcal M$ is used as an integrability criterion.
English version:
Theoretical and Mathematical Physics, 2000, Volume 122, Issue 1, Pages 72–83
DOI: https://doi.org/10.1007/BF02551171
Bibliographic databases:
Language: Russian
Citation: A. V. Mikhailov, V. V. Sokolov, “Integrable ordinary differential equations on free associative algebras”, TMF, 122:1 (2000), 88–101; Theoret. and Math. Phys., 122:1 (2000), 72–83
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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