Three Graded Modified Classical Yang-Baxter Equations and Integrable Systems
solv-int
2008-02-03 v1 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
Abstract
The huge Lie algebra of all local and non local differential operators on a circle is applied to the standard Adler-Kostant-Symes (AKS) R-bracket sckeme. It is shown in particular that there exist three additional Lie structures, associated to three graded modified classical Yang-Baxter(GMCYB) equations. As we know from the standard case, these structures can be used to classify in a more consitent way a wide class of integrable systems. Other algebraic properties are also presented.
Cite
@article{arxiv.solv-int/9708003,
title = {Three Graded Modified Classical Yang-Baxter Equations and Integrable Systems},
author = {E. H. Saidi and M. B. Sedra},
journal= {arXiv preprint arXiv:solv-int/9708003},
year = {2008}
}
Comments
22 pages, Revtex