Darboux transformations with tetrahedral reduction group and related integrable systems

DOI10.1063/1.4962803zbMath1349.37063arXiv1603.03289OpenAlexW3100720398WikidataQ59892467 ScholiaQ59892467MaRDI QIDQ2825556

George Berkeley, Pavlos Xenitidis, Alexander V. Mikhailov

Publication date: 13 October 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.03289

zbMATH Keywords

Darboux transformationtetrahedral groupautomorphic Lie algebras

Mathematics Subject Classification ID

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) Lie algebras of linear algebraic groups (17B45) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Symmetries of infinite-dimensional dissipative dynamical systems (37L20) Partial difference equations (39A14)

Related Items (6)

Reduction groups and related integrable difference systems of nonlinear Schrödinger type ⋮ Automorphic Lie algebras and corresponding integrable systems ⋮ Determining the symmetries of difference equations ⋮ ${{\mathbb{Z}}_{N}}$ graded discrete Lax pairs and integrable difference equations ⋮ On consistent systems of difference equations ⋮ A discrete Darboux-Lax scheme for integrable difference equations

Cites Work

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• On discrete 2D integrable equations of higher order

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