Quasigraded Lie algebras and modified Toda field equations

DOI10.3842/SIGMA.2006.043zbMath1128.37046arXivnlin/0604032MaRDI QIDQ2495198

T. V. Skrypnik

Publication date: 4 July 2006

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0604032

zbMATH Keywords

soliton equationsinfinite-dimensional Lie algebras

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

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Reduction in soliton hierarchies and special points of classical \(r\)-matrices ⋮ Infinite-dimensional Lie algebras, classical r-matrices, and Lax operators: Two approaches ⋮ Quasigraded bases in loop algebras and classical rational r-matrices

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