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Front Propagation in Both Directions and Coexistence of Traveling Fronts and Pulses by Chen, Chao-Nien; Choi, Y. S. is a scholarly article available to read on EtoBox.

What is Front Propagation in Both Directions and Coexistence of Traveling Fronts and Pulses about?

For scalar reaction-diffusion equations, a traveling wave is a front which transforms a higher energy state to a lower energy state. The same is true for a system of equations with a gradient structure. At the core of this phenomenon, the wave propagation results in an invasion of an equilibrium state from a different one. This paper is aimed at two questions: (i) Can reaction-diffusion waves exhibit front propagation in both directions between two distinct equilibrium states? (ii) The co-existence of traveling fronts and pulses; a subject rarely studied. Working on a FitzHugh-Nagumo model with the same physical parameters, we give positive answers to both questions.

Author

Chen, Chao-Nien; Choi, Y. S.

Published

2018

Language

EN