A topological shooting method and the existence of kinks of the extended Fisher-Kolmogorov equation
type: Item
instance of: scholarly article
title: A topological shooting method and the existence of kinks of the extended Fisher-Kolmogorov equation
zbMATH Open document ID: 0862.34030
DOI: 10.12775/TMNA.1995.049
author: Lambertus A. Peletier
author: W. C. Troy
published in: Topological Methods in Nonlinear Analysis
publication date: 1997-06-02T00:00:00Z
review text: For the extended Fisher-Kolmogorov equation, the authors develop a topological shooting method and apply it to prove the existence of a countably infinite number of kinks or heteroclinic orbits connecting the stable states. The discussion is made according to a critical value of the positive (constant) coefficient of the fourth order term of the equation. (When this coefficient is zero, the equation reduces to the Fisher-Kolmogorov one).
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 34C37
zbMATH DE Number: 929674
zbMATH Keywords: extension Fisher-Kolmogorov equation
zbMATH Keywords: heteroclinic orbits
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 929674