Effects of transport memory in wave fronts in a bistable reaction–diffusion system

D.C. Bitang A. Ziem, A. Mvogo and T.C. Kofané

Physica A: Statistical Mechanics and its Applications, 2019, vol. 517, issue C, 36-46

Abstract: In this paper, we analyze transport memory effects in bistable reaction−diffusion systems. Traveling wave fronts are obtained for two interesting cases: (i)The nonlinear reaction term is treated without any approximation by factorization method. We find that transport memory effects appear to play a key role as it prevents the concentration or the amplitude from taking negative values. These memory effects enter the dynamics of the reaction diffusion systems through their influence on the speed of the traveling wave fronts. (ii) The nonlinear reaction term is replaced by a piecewise linear approximate form. We obtain a system of differential equations describing the three damped harmonic oscillators, one of which has a negative mass and the others positive masses.

Keywords: Memory effects; Bistable reaction–diffusion systems (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437118313979
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:517:y:2019:i:c:p:36-46

DOI: 10.1016/j.physa.2018.10.049

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().