Quasigraded Lie Algebras and Modified Toda Field Equations
Exactly Solvable and Integrable Systems
2008-04-24 v1 Mathematical Physics
math.MP
Abstract
We construct a family of quasigraded Lie algebras that coincide with the deformations of the loop algebras in "principal" gradation and admit Kostant-Adler-Symes scheme. Using them we obtain new Volterra coupled systems and modified Toda field equations for all series of classical matrix Lie algebras .
Keywords
Cite
@article{arxiv.nlin/0604032,
title = {Quasigraded Lie Algebras and Modified Toda Field Equations},
author = {Taras V. Skrypnyk},
journal= {arXiv preprint arXiv:nlin/0604032},
year = {2008}
}
Comments
Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/