Lax operators, Poisson groups, and the differential Galois theory
DOI10.1007/s11232-014-0212-8zbMath1309.37063OpenAlexW2054260884MaRDI QIDQ2262808
Michaael A. Semenov-Tian-Shansky
Publication date: 16 March 2015
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11232-014-0212-8
Poisson reductiondifference operatordifferential Galois groupPoisson-Lie groupclassical \(r\)-matrixdifference Galois group
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)
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