Travelling wave solutions of a bistable reaction-diffusion equation with nonlinear jump discontinuity
Analysis of PDEs
2022-06-07 v1
Abstract
This paper is concerned with the existence and the stability of travelling wave solutions to a bistable reaction-diffusion equation with a jump discontinuious point on nonlinear term. Sub-super solution method is used throughout this paper. As a matter of fact, this nonlinear discontinuity term is frequently emerging when study the travelling wave solution of reaction-diffusion-ODE systems. Hence, it is meaningful to consider this kind of problem.
Keywords
Cite
@article{arxiv.2206.02103,
title = {Travelling wave solutions of a bistable reaction-diffusion equation with nonlinear jump discontinuity},
author = {Lingling Hou},
journal= {arXiv preprint arXiv:2206.02103},
year = {2022}
}
Comments
10 pages, 6 figures