Entire solutions for some reaction–diffusion systems

Author:

Lv Guangying1,Luo Dang2

Affiliation:

1. Institute of Contemporary Mathematics, Henan University, Kaifeng 475001, P. R. China

2. College of Mathematics and Information Sciences, North China University of Water Resources and Electric Power, Zhengzhou 450011, P. R. China

Abstract

This paper is concerned with the existence of entire solutions of some reaction–diffusion systems. We first consider Belousov–Zhabotinskii reaction model. Then we study a general model. Using the comparing argument and sub-super-solutions method, we obtain the existence of entire solutions which behave as two wavefronts coming from the both sides of x-axis, where an entire solution is meant by a classical solution defined for all space and time variables. At last, we give some examples to explain our results for the general models.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

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