Ji Lina, Wang Rui
Department of Information and Computational Science, He'nan Agricultural University, Zhengzhou 450002, China.
Entropy (Basel). 2020 Aug 8;22(8):873. doi: 10.3390/e22080873.
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.
开发了一种条件李-贝克伦德对称方法和微分约束方法来研究具有源项的径向对称非线性对流扩散方程。确定了这些方程以及所允许的条件李-贝克伦德对称性（微分约束）。结果，由于原始方程与对应于所允许的条件李-贝克伦德对称性的不变曲面方程的附加微分约束的相容性，导出了所得方程到二维动力系统的对称约化。
