The exotic conformal Galilei algebra and nonlinear partial differential equations

DOI10.1016/j.jmaa.2010.02.025zbMath1197.35017arXiv0910.4822OpenAlexW1966769890MaRDI QIDQ982573

Malte Henkel, Roman M. Cherniha

Publication date: 7 July 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.4822

zbMATH Keywords

conditional symmetryLie symmetrypartial differential equation (PDE)conformal Galilei algebra

Mathematics Subject Classification ID

Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (19)

GALILEAN CONFORMAL ALGEBRA IN SEMI-INFINITE SPACE ⋮ Dynamical realizations of $\mathcal {N}=1$N=1 l-conformal Galilei superalgebra ⋮ Non-local meta-conformal invariance, diffusion-limited erosion and the XXZ chain ⋮ 2-Local derivations on the planar Galilean conformal algebra ⋮ Aspects of infinite dimensional ℓ-super Galilean conformal algebra ⋮ The Shigesada-Kawasaki-Teramoto model: conditional symmetries, exact solutions and their properties ⋮ Logarithmic exotic conformal Galilean algebras ⋮ Infinite-dimensional meta-conformal Lie algebras in one and two spatial dimensions ⋮ Algebra, geometry and mathematical physics. AGMP, Mulhouse, France, October 24-26, 2011. Proceedings ⋮ HIGHEST WEIGHT REPRESENTATIONS AND KAC DETERMINANTS FOR A CLASS OF CONFORMAL GALILEI ALGEBRAS WITH CENTRAL EXTENSION ⋮ On non-local representations of the ageing algebra ⋮ Higher-derivative mechanics with N=2l-conformal Galilei supersymmetry ⋮ Invariant partial differential equations with two-dimensional exotic centrally extended conformal Galilei symmetry ⋮ Remark on higher-derivative mechanics with l-conformal Galilei symmetry ⋮ ℓ-oscillators from second-order invariant PDEs of the centrally extended conformal Galilei algebras ⋮ Supersymmetry of the planar Dirac–Deser–Jackiw–Templeton system and of its nonrelativistic limit ⋮ Logarithmic correlators in nonrelativistic conformal field theory ⋮ Physical Ageing and New Representations of Some Lie Algebras of Local Scale-Invariance ⋮ $\mathcal {N}=2$ N = 2 supersymmetric extension of l-conformal Galilei algebra

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