Electronic Journal of Differential Equations, 
Vol. 2020 (2020), No. 112, pp. 1-29.

Title: Pyramidal traveling fronts in the Belousov-Zhabotinskii reaction-diffusion
       systems in R^3
       
Authors: Luyi Ma (Lanzhou Univ., Gansu, China)
         Hong-Tao Niu (Xuzhou Institute of Technology, Jiangsu, China)
         Zhi-Cheng Wang (Lanzhou Univ., Gansu, China)

Abstract:
 In this article, we consider a diffusion system with the Belousov-Zhabotinskii
 (BZ for short) chemical reaction. The existence and stability of V-shaped
 traveling  fronts for the BZ system in $\mathbb{R}^2$ had been proved in 
 our previous  papers [30, 31].
 Here we establish the existence and stability of pyramidal traveling fronts
 for the BZ system in $\mathbb{R}^3$.
 
Submitted April 3, 2020. Published November 12, 2020.
Math Subject Classifications: 35K40, 35K57, 35C07.
Key Words: Belousov-Zhabotinskii reaction; pyramidal traveling fronts;
           supersolution; subsolution.