Quasigraded Lie Algebras and Modified Toda Field Equations

Details Quasigraded Lie Algebras and Modified Toda Field Equations Quasigraded Lie Algebras and Modified Toda Field Equations

2006-04-16

arxiv.org/abs/nlin/0604032v1

SIGMA 2 (2006), 043, 14 pages

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

Scientific paper

10.3842/SIGMA.2006.043

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 $\mathfrak{g}$.

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