This article is cited 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

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

DOI: 10.4213/tmf1049

 English version: Theoretical and Mathematical Physics, 1997, 112:3, 1097–1103

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