Geodesic
Integrable equations on $\mathbb Z$-graded Lie algebras
Teoretičeskaâ i matematičeskaâ fizika, Tome 112 (1997) no. 3, pp. 375-383 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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I. Z. Golubchik; V. V. Sokolov. Integrable equations on $\mathbb Z$-graded Lie algebras. Teoretičeskaâ i matematičeskaâ fizika, Tome 112 (1997) no. 3, pp. 375-383. http://geodesic.mathdoc.fr/item/TMF_1997_112_3_a1/

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