Algebraic properties of quasilinear two-dimensional lattices connected with integrability
From MaRDI portal
Publication:5137181
DOI10.13108/2018-10-3-86zbMath1463.37047arXiv1808.04562OpenAlexW2886700564WikidataQ128862298 ScholiaQ128862298MaRDI QIDQ5137181
Mariya Poptsova, Ismagil T. Habibullin
Publication date: 2 December 2020
Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.04562
integrable reductionDarboux integrable systemopen chaincharacteristic Lie algebratwo-dimensional integrable lattice\(x\)-integralcut-off condition
Lattice dynamics; integrable lattice equations (37K60) Integrable difference and lattice equations; integrability tests (39A36)
Related Items
Construction of localized particular solutions of chains with three independent variables ⋮ On the problem of classifying integrable chains with three independent variables ⋮ On the classification of nonlinear integrable three-dimensional chains via characteristic Lie algebras ⋮ Classification of a subclass of quasilinear two-dimensional lattices by means of characteristic algebras ⋮ Characteristic algebras and integrable exponential systems ⋮ Symmetries of a certain periodic chain ⋮ Integrability conditions for two-dimensional Toda-like equations ⋮ Characteristic Lie algebras of integrable differential-difference equations in 3D
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