# Travelling wave solutions in a negative nonlinear diffusion-reaction model

Source: [Travelling wave solutions in a negative nonlinear diffusion-reaction model](<https://www.sota2.com/research/paper/68fa575d1e209131ce9a4caf>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:55:55.257Z

Authors: Yifei Li, Peter van Heijster, Robert Marangell, Matthew J. Simpson

Published: 2019-03-25T00:38:51.000Z

## Abstract

We use a geometric approach to prove the existence of smooth travelling wave solutions of a nonlinear diffusion-reaction equation with logistic kinetics and a convex nonlinear diffusivity function which changes sign twice in our domain of interest. We determine the minimum wave speed, c\*, and investigate its relation to the spectral stability of the travelling wave solutions.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1903.10090>)

[PDF](<https://arxiv.org/pdf/1903.10090.pdf>)