|
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
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
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
Linking options:
https://www.mathnet.ru/eng/tmf1049https://doi.org/10.4213/tmf1049 https://www.mathnet.ru/eng/tmf/v112/i3/p375
|
Statistics & downloads: |
Abstract page: | 444 | Full-text PDF : | 194 | References: | 56 | First page: | 2 |
|