Quasigraded Lie Algebras and Modified Toda Field Equations

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dc.creatorSkrypnyk, Taras V.
dc.date2006-04-16
dc.date.accessioned2026-07-07T09:34:39Z
dc.date.available2026-07-07T09:34:39Z
dc.descriptionWe 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 $\mathfrak{g}$.
dc.descriptionPublished in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/nlin/0604032
dc.identifierhttp://arxiv.org/abs/nlin/0604032
dc.identifierSIGMA 2 (2006), 043, 14 pages
dc.identifierdoi:10.3842/SIGMA.2006.043
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159568
dc.subjectExactly Solvable and Integrable Systems
dc.subjectMathematical Physics
dc.titleQuasigraded Lie Algebras and Modified Toda Field Equations
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