A simple proof for the existence of V-form fronts in reaction–diffusion equations

This paper studies V-form traveling fronts to a bistable reaction–diffusion equation. V-form traveling fronts have been studied so far for many reaction–diffusion equations. The proof of its existence is often based on the multi-scale method. In this paper we present a new simple proof for the existence of V-form traveling fronts based on estimates by inscribed balls.

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Publication Details

Journal
Partial Differential Equations and Applications
Published
2026-10-15
DOI
https://doi.org/10.1007/s42985-026-00410-0
Primary Topic
Nonlinear Dynamics and Pattern Formation
Type
article
Field-Weighted Citation Impact
0.00

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article

A simple proof for the existence of V-form fronts in reaction–diffusion equations

Masaharu Taniguchi, George Taylor, Satomu Nagashima
Partial Differential Equations and Applications
Nonlinear Dynamics and Pattern Formation
article

A simple proof for the existence of V-form fronts in reaction–diffusion equations

Masaharu Taniguchi, George Taylor, Satomu Nagashima
article en

Abstract

This paper studies V-form traveling fronts to a bistable reaction–diffusion equation. V-form traveling fronts have been studied so far for many reaction–diffusion equations. The proof of its existence is often based on the multi-scale method. In this paper we present a new simple proof for the existence of V-form traveling fronts based on estimates by inscribed balls.

Partial Differential Equations and ApplicationsVol. 7(6)
Okayama University (JP), National Institute of Technology, Oshima College (JP)
Japan Society for the Promotion of Science
Openalex Percentile: Top 12%
Nonlinear Dynamics and Pattern Formation
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