An Exact Logistic Solution of a Fifth-Order Equation in Five Variables

An explicit fifth-order nonlinear equation in one time and four space variables admits a logistic travelling-wave solution. The fifth directional derivative is factored exactly into elementary polynomials. Direct substitution verifies the equation without an assertion about well-posedness or the general solution set.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-02
DOI
https://doi.org/10.5281/zenodo.23887944
Primary Topic
Nonlinear Waves and Solitons
Type
article
Field-Weighted Citation Impact
0.00
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article

An Exact Logistic Solution of a Fifth-Order Equation in Five Variables

Ziping Guo
Zenodo (CERN European Organization for Nuclear Research)
Nonlinear Waves and Solitons
article

An Exact Logistic Solution of a Fifth-Order Equation in Five Variables

Ziping Guo
article en

Abstract

An explicit fifth-order nonlinear equation in one time and four space variables admits a logistic travelling-wave solution. The fifth directional derivative is factored exactly into elementary polynomials. Direct substitution verifies the equation without an assertion about well-posedness or the general solution set.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 16%
Nonlinear Waves and Solitons
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An Exact Logistic Solution of a Fifth-Order Equation in Five Variables — Ziping Guo · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS