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- W2094889629 abstract "For each finite-dimensional simple Lie algebra documentclass[12pt]{minimal}begin{document}$mathfrak {g}$end{document}g, starting from a general documentclass[12pt]{minimal}begin{document}$mathfrak {g}otimes mathfrak {g}$end{document}g⊗g-valued solution r(u, v) of the generalized non-dynamical classical Yang-Baxter equation, we construct “N-poled” infinite-dimensional Lie algebras documentclass[12pt]{minimal}begin{document}$widetilde{mathfrak {g}}^{-,N}_r$end{document}g̃r−,N of documentclass[12pt]{minimal}begin{document}$mathfrak {g}$end{document}g-valued meromorphic functions with the poles in a fixed set of points ν1, …,νN. We apply the constructed algebras to the theory of finite-dimensional integrable systems and theory of soliton equations and obtain with their help the most general form of anisotropic chiral field-type equations as well as the most general form of integrable N-top systems and integrable cases of N interacting Kirchhoff systems." @default.
- W2094889629 created "2016-06-24" @default.
- W2094889629 creator A5056240923 @default.
- W2094889629 date "2014-08-01" @default.
- W2094889629 modified "2023-10-14" @default.
- W2094889629 title "“Many-poled” <i>r</i>-matrix Lie algebras, Lax operators, and integrable systems" @default.
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- W2094889629 doi "https://doi.org/10.1063/1.4891488" @default.
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