Conditional Lie-Bäcklund Symmetries and Differential Constraints of Radially Symmetric Nonlinear Convection-Diffusion Equations with Source

Conditional Lie-Bäcklund Symmetries and Differential Constraints of Radially Symmetric Nonlinear Convection-Diffusion Equations with Source

A conditional Lie-Bäcklund symmetry method and differential constraint method are developed to study the radially symmetric nonlinear convection-diffusion equations with source. The equations and the admitted conditional Lie-Bäcklund symmetries (differential constraints) are identified. As a consequ...

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Main Authors: Lina Ji, Rui Wang
Format: Article
Language:English
Published: MDPI AG 2020-08-01
Series:Entropy
Subjects:
conditional Lie-Bäcklund symmetry
differential constraint
nonlinear convection-diffusion equation
symmetry reduction
dynamical system
Online Access:https://www.mdpi.com/1099-4300/22/8/873
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spelling doaj-8388f241e92c4c8f9e2f9cd4c085ba422020-11-25T03:26:36ZengMDPI AGEntropy1099-43002020-08-012287387310.3390/e22080873Conditional Lie-Bäcklund Symmetries and Differential Constraints of Radially Symmetric Nonlinear Convection-Diffusion Equations with SourceLina Ji0Rui Wang1Department of Information and Computational Science, He’nan Agricultural University, Zhengzhou 450002, ChinaDepartment of Information and Computational Science, He’nan Agricultural University, Zhengzhou 450002, ChinaA conditional Lie-Bäcklund symmetry method and differential constraint method are developed to study the radially symmetric nonlinear convection-diffusion equations with source. The equations and the admitted conditional Lie-Bäcklund symmetries (differential constraints) are identified. As a consequence, symmetry reductions to two-dimensional dynamical systems of the resulting equations are derived due to the compatibility of the original equation and the additional differential constraint corresponding to the invariant surface equation of the admitted conditional Lie-Bäcklund symmetry.https://www.mdpi.com/1099-4300/22/8/873conditional Lie-Bäcklund symmetrydifferential constraintnonlinear convection-diffusion equationsymmetry reductiondynamical system
collection DOAJ
language English
format Article
sources DOAJ
author Lina Ji
Rui Wang
spellingShingle Lina Ji
Rui Wang
Conditional Lie-Bäcklund Symmetries and Differential Constraints of Radially Symmetric Nonlinear Convection-Diffusion Equations with Source
Entropy
conditional Lie-Bäcklund symmetry
differential constraint
nonlinear convection-diffusion equation
symmetry reduction
dynamical system
author_facet Lina Ji
Rui Wang
author_sort Lina Ji
title Conditional Lie-Bäcklund Symmetries and Differential Constraints of Radially Symmetric Nonlinear Convection-Diffusion Equations with Source
title_short Conditional Lie-Bäcklund Symmetries and Differential Constraints of Radially Symmetric Nonlinear Convection-Diffusion Equations with Source
title_full Conditional Lie-Bäcklund Symmetries and Differential Constraints of Radially Symmetric Nonlinear Convection-Diffusion Equations with Source
title_fullStr Conditional Lie-Bäcklund Symmetries and Differential Constraints of Radially Symmetric Nonlinear Convection-Diffusion Equations with Source
title_full_unstemmed Conditional Lie-Bäcklund Symmetries and Differential Constraints of Radially Symmetric Nonlinear Convection-Diffusion Equations with Source
title_sort conditional lie-bäcklund symmetries and differential constraints of radially symmetric nonlinear convection-diffusion equations with source
publisher MDPI AG
series Entropy
issn 1099-4300
publishDate 2020-08-01
description A conditional Lie-Bäcklund symmetry method and differential constraint method are developed to study the radially symmetric nonlinear convection-diffusion equations with source. The equations and the admitted conditional Lie-Bäcklund symmetries (differential constraints) are identified. As a consequence, symmetry reductions to two-dimensional dynamical systems of the resulting equations are derived due to the compatibility of the original equation and the additional differential constraint corresponding to the invariant surface equation of the admitted conditional Lie-Bäcklund symmetry.
topic conditional Lie-Bäcklund symmetry
differential constraint
nonlinear convection-diffusion equation
symmetry reduction
dynamical system
url https://www.mdpi.com/1099-4300/22/8/873
work_keys_str_mv AT linaji conditionalliebacklundsymmetriesanddifferentialconstraintsofradiallysymmetricnonlinearconvectiondiffusionequationswithsource
AT ruiwang conditionalliebacklundsymmetriesanddifferentialconstraintsofradiallysymmetricnonlinearconvectiondiffusionequationswithsource
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