Next Article in Journal / Special Issue
Noether Symmetries Quantization and Superintegrability of Biological Models
Previous Article in Journal
Fluctuating Asymmetry of Human Populations: A Review
Previous Article in Special Issue
Nonclassical Symmetries of a Nonlinear Diffusion–Convection/Wave Equation and Equivalents Systems
Open AccessArticle

The Method of Linear Determining Equations to Evolution System and Application for Reaction-Diffusion System with Power Diffusivities

by Lina Ji 1,2
1
Department of Mathematics, Shanghai University, Shanghai 200444, China
2
Department of Information and Computational Science, He’nan Agricultural University, Zhengzhou 450002, China
Academic Editor: Roman M. Cherniha
Symmetry 2016, 8(12), 157; https://doi.org/10.3390/sym8120157
Received: 6 September 2016 / Revised: 11 December 2016 / Accepted: 13 December 2016 / Published: 20 December 2016
The method of linear determining equations is constructed to study conditional Lie–Bäcklund symmetry and the differential constraint of a two-component second-order evolution system, which generalize the determining equations used in the search for classical Lie symmetry. As an application of the approach, the two-component reaction-diffusion system with power diffusivities is considered. The conditional Lie–Bäcklund symmetries and differential constraints admitted by the reaction-diffusion system are identified. Consequently, the reductions of the resulting system are established due to the compatibility of the corresponding invariant surface conditions and the original system. View Full-Text
Keywords: linear determining equation; conditional Lie–Bäcklund symmetry; differential constraint; evolution system; reaction-diffusion system linear determining equation; conditional Lie–Bäcklund symmetry; differential constraint; evolution system; reaction-diffusion system
MDPI and ACS Style

Ji, L. The Method of Linear Determining Equations to Evolution System and Application for Reaction-Diffusion System with Power Diffusivities. Symmetry 2016, 8, 157.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop