A classification algorithm for integrable two-dimensional lattices via Lie-Rinehart algebras

DOI10.1134/S0040577920040121zbMath1452.37072arXiv1907.12269OpenAlexW2965297685MaRDI QIDQ2193723

Yanyan Li

Publication date: 20 August 2020

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

Full work available at URL: https://arxiv.org/abs/1907.12269

zbMATH Keywords

integral of motionintegrable reductioncutoff conditioncharacteristic Lie algebraDarboux-integrable systemopen latticetwo-dimensional integrable lattice

Mathematics Subject Classification ID

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) Lattice dynamics; integrable lattice equations (37K60) Integrable difference and lattice equations; integrability tests (39A36)

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