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Mathematical Physics

arXiv:2108.01779 (math-ph)
[Submitted on 1 Aug 2021 ]

Title: Approximate Q-conditional symmetries of partial differential equations

Title: 偏微分方程的近似 Q-条件对称性

Authors:Matteo Gorgone, Francesco Oliveri
Abstract: Following a recently introduced approach to approximate Lie symmetries of differential equations which is consistent with the principles of perturbative analysis of differential equations containing small terms, we analyze the case of approximate $Q$--conditional symmetries. An application of the method to a hyperbolic variant of a reaction--diffusion--convection equation is presented.
Abstract: 根据一种最近引入的用于近似微分方程李对称性的方法,该方法与包含小项的微分方程摄动分析原理一致,我们分析了近似$Q$--条件对称性的案例。 该方法应用于反应-扩散-对流方程的一个双曲变体。
Comments: 24 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:2105.05584, arXiv:2105.11534, arXiv:2108.01078
Subjects: Mathematical Physics (math-ph)
MSC classes: 34E10 - 35C06 - 35C20 - 58J37 - 58J70
Cite as: arXiv:2108.01779 [math-ph]
  (or arXiv:2108.01779v1 [math-ph] for this version)
  https://doi.org/10.48550/arXiv.2108.01779
arXiv-issued DOI via DataCite
Journal reference: Electronic Journal of Differential Equations 25, 133-147 (2018)

Submission history

From: Matteo Gorgone [view email]
[v1] Sun, 1 Aug 2021 23:55:06 UTC (132 KB)
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