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Teoreticheskaya i Matematicheskaya Fizika, 1997, Volume 112, Number 3, Pages 375–383
DOI: https://doi.org/10.4213/tmf1049 (Mi tmf1049) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Integrable equations on $\mathbb Z$-graded Lie algebras

I. Z. Golubchik, V. V. Sokolov

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Full-text PDF (228 kB) Citations (10)
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DOI: https://doi.org/10.4213/tmf1049
Abstract: Evolution systems with $L$–$A$-pairs in $\mathbb Z$-graded Lie algebras are investigated. Some different hierarchies of integrable systems are associated with the same $L$-operator. They correspond to different decompositions of zero component of the $\mathbb Z$-graded algebra in a direct sum of two subalgebras. As the result, new examples of multi-component integrable systems are constructed.
Received: 13.02.1997
English version:
Theoretical and Mathematical Physics, 1997, Volume 112, Issue 3, Pages 1097–1103
DOI: https://doi.org/10.1007/BF02583041
Bibliographic databases:
Language: Russian
Citation: I. Z. Golubchik, V. V. Sokolov, “Integrable equations on $\mathbb Z$-graded Lie algebras”, TMF, 112:3 (1997), 375–383; Theoret. and Math. Phys., 112:3 (1997), 1097–1103
Citation in format AMSBIB
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    • This publication is cited in the following 10 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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