An Exact Logistic Front for a Nonlinear Reaction-Diffusion Equation

A nonlinear second-order reaction-diffusion equation with quadratic state-dependent diffusion admits an explicit logistic travelling front. Direct differentiation proves the identity for all stated parameters. A positivity condition distinguishes the strictly parabolic case and a normalized polynomial member is displayed.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-02
DOI
https://doi.org/10.5281/zenodo.23887942
Primary Topic
Nonlinear Dynamics and Pattern Formation
Type
article
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article

An Exact Logistic Front for a Nonlinear Reaction-Diffusion Equation

Ziping Guo
Zenodo (CERN European Organization for Nuclear Research)
Nonlinear Dynamics and Pattern Formation
article

An Exact Logistic Front for a Nonlinear Reaction-Diffusion Equation

Ziping Guo
article en

Abstract

A nonlinear second-order reaction-diffusion equation with quadratic state-dependent diffusion admits an explicit logistic travelling front. Direct differentiation proves the identity for all stated parameters. A positivity condition distinguishes the strictly parabolic case and a normalized polynomial member is displayed.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 16%
Nonlinear Dynamics and Pattern Formation
DOIOpen Access PDFOpenAlex
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An Exact Logistic Front for a Nonlinear Reaction-Diffusion Equation — Ziping Guo · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS