Dual \(R\)-matrix integrability

DOI10.1007/s11232-008-0053-4zbMath1182.37037OpenAlexW2002548007MaRDI QIDQ1002613

T. V. Skrypnik

Publication date: 2 March 2009

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-008-0053-4

zbMATH Keywords

Lie algebraclassical integrable systemclassical \(R\)- matrix

Mathematics Subject Classification ID

Related Items (6)

Reduction in soliton hierarchies and special points of classical \(r\)-matrices ⋮ “Many-poled” r-matrix Lie algebras, Lax operators, and integrable systems ⋮ Generalized \(\lambda\)-deformations of \( \mathrm{dS}_{p} \times S^{p}\) ⋮ Classical double, \(R\)-operators, and negative flows of integrable hierarchies ⋮ Infinite-dimensional Lie algebras, classical r-matrices, and Lax operators: Two approaches ⋮ Lie algebras with triangular decompositions, non-skew-symmetric classical \(r\)-matrices and Gaudin-type integrable systems

Cites Work

• What is a classical r-matrix?
• The homogeneous Heisenberg subalgebra and equations of AKNS type
• Solutions of the classical Yang-Baxter equation for simple Lie algebras

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