scientific article; zbMATH DE number 6847729

zbMath1394.37003arXiv1711.10613MaRDI QIDQ4606379

Vladimir Sokolov

Publication date: 7 March 2018

Full work available at URL: https://arxiv.org/abs/1711.10613

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zbMATH Keywords

Yang-Baxter equationLax representationintegrable systembi-Hamiltonian structureloop algebraCalogero-Moser modelsAKS factorization method

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) 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) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Poisson algebras (17B63) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)

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