This article is cited in 14 papers

Generalized Heisenberg equations on $\mathbb Z$-graded Lie algebras

I. Z. Golubchik^a, V. V. Sokolov<sup>b

a</sup> Bashkir State Pedagogical University
^b Landau Institute for Theoretical Physics, Centre for Non-linear Studies

Abstract: We study the integrable systems of the Heisenberg equation type that correspond to different decompositions of $\mathbb Z$-graded Lie algebras into a direct sum of two subalgebras. We discover new non-Abelian generalizations of some known integrable models.

Received: 25.02.1999

DOI: 10.4213/tmf773

 English version: Theoretical and Mathematical Physics, 1999, 120:2, 1019–1025

Bibliographic databases:

• 
• 
•