SELECTED TOPICS IN CLASSICAL INTEGRABILITY

DOI10.1142/S0217751X12300037zbMath1247.70037arXiv1110.4235MaRDI QIDQ2919157

Anastasia Doikou

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

zbMATH Keywords

local integrals of motionLax pairsclassical \(r\)-matrixclassical integrabilityalgebraic description

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) 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)

Related Items (2)

Solitons: Conservation laws and dressing methods ⋮ Liouville integrable defects: the non-linear Schrödinger paradigm

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