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Symmetry, Integrability and Geometry: Methods and Applications, 2006, Volume 2, 043, 14 pp.
DOI: https://doi.org/10.3842/SIGMA.2006.043 (Mi sigma71) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Quasigraded Lie Algebras and Modified Toda Field Equations

Taras V. Skrypnykab

a Bogolyubov Institute for Theoretical Physics, 14-b Metrologichna Str., Kyiv, 03143 Ukraine
b Institute of Mathematics, 3 Tereshchenkivs'ka Str., Kyiv-4, 01601 Ukraine
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DOI: https://doi.org/10.3842/SIGMA.2006.043
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 $\mathfrak g$.
Keywords: infinite-dimensional Lie algebras; soliton equations.
Received: October 31, 2005; in final form March 3, 2006; Published online April 16, 2006
Bibliographic databases:
Document Type: Article
MSC: 37K05; 37K30
Language: English
Citation: Taras V. Skrypnyk, “Quasigraded Lie Algebras and Modified Toda Field Equations”, SIGMA, 2 (2006), 043, 14 pp.
Citation in format AMSBIB
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\paper Quasigraded Lie Algebras and Modified Toda Field Equations
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    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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