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

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Department of Information and Computational Science, He’nan Agricultural University, Zhengzhou 450002, China
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Entropy 2020, 22(8), 873; https://doi.org/10.3390/e22080873
Received: 20 May 2020 / Revised: 3 August 2020 / Accepted: 3 August 2020 / Published: 8 August 2020
(This article belongs to the Special Issue Applications of Nonlinear Diffusion Equations)
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. View Full-Text
Keywords: conditional Lie-Bäcklund symmetry; differential constraint; nonlinear convection-diffusion equation; symmetry reduction; dynamical system conditional Lie-Bäcklund symmetry; differential constraint; nonlinear convection-diffusion equation; symmetry reduction; dynamical system
MDPI and ACS Style

Ji, L.; Wang, R. Conditional Lie-Bäcklund Symmetries and Differential Constraints of Radially Symmetric Nonlinear Convection-Diffusion Equations with Source. Entropy 2020, 22, 873. https://doi.org/10.3390/e22080873

AMA Style

Ji L, Wang R. Conditional Lie-Bäcklund Symmetries and Differential Constraints of Radially Symmetric Nonlinear Convection-Diffusion Equations with Source. Entropy. 2020; 22(8):873. https://doi.org/10.3390/e22080873

Chicago/Turabian Style

Ji, Lina, and Rui Wang. 2020. "Conditional Lie-Bäcklund Symmetries and Differential Constraints of Radially Symmetric Nonlinear Convection-Diffusion Equations with Source" Entropy 22, no. 8: 873. https://doi.org/10.3390/e22080873

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