Exact Propagating Wave Solutions in Reaction Cross-Diffusion System
Pattern Formation and Solitons
2020-09-18 v2
Abstract
Reaction-diffusion systems with cross-diffusion terms in addition to, or instead of, the usual self-diffusion demonstrate interesting features which motivate their further study. The present work is aimed at designing a toy reaction-cross-diffusion model with exact solutions in the form of propagating fronts. We propose a minimal model of this kind which involves two species linked by cross-diffusion, one of which governed by a linear equation and the other having a polynomial kinetic term. We classify the resulting exact propagating front solutions. Some of them have some features of the Fisher-KPP fronts and some features of the ZFK-Nagumo fronts.
Keywords
Cite
@article{arxiv.2004.07962,
title = {Exact Propagating Wave Solutions in Reaction Cross-Diffusion System},
author = {Abdullah Aldurayhim and Vadim N. Biktashev},
journal= {arXiv preprint arXiv:2004.07962},
year = {2020}
}
Comments
37 pages, 11 figures, as accepted to CSFX on 2020/09/15