SELECTED TOPICS IN CLASSICAL INTEGRABILITY
DOI10.1142/S0217751X12300037zbMath1247.70037arXiv1110.4235MaRDI QIDQ2919157
Publication date: 2 October 2012
Published in: International Journal of Modern Physics A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1110.4235
local integrals of motionLax pairsclassical \(r\)-matrixclassical integrabilityalgebraic description
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) NLS equations (nonlinear Schrödinger equations) (35Q55) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Poisson algebras (17B63) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02)
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Cites Work
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