Traveling fronts in perturbed multistable reaction-diffusion equations

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this paper we study the existence and non-existence of traveling front solutions in multi stable reaction-diffusion equations. If this equation has a traveling front solution, a perturbed equation also has a traveling front solution. We study how the speed and the traveling profile depend on nonlinear terms.

Original languageEnglish
Pages (from-to)1368-1377
Number of pages10
JournalDiscrete and Continuous Dynamical Systems
Issue numberSUPPL.
Publication statusPublished - Sep 2011
Externally publishedYes

Fingerprint

Travelling Fronts
Reaction-diffusion Equations
Nonexistence
Term

Keywords

  • Perturbation
  • Traveling waves

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics
  • Analysis

Cite this

Traveling fronts in perturbed multistable reaction-diffusion equations. / Taniguchi, Masaharu.

In: Discrete and Continuous Dynamical Systems, No. SUPPL., 09.2011, p. 1368-1377.

Research output: Contribution to journalArticle

@article{7ccd491cf1ae4b09afbb647261fb03c2,
title = "Traveling fronts in perturbed multistable reaction-diffusion equations",
abstract = "In this paper we study the existence and non-existence of traveling front solutions in multi stable reaction-diffusion equations. If this equation has a traveling front solution, a perturbed equation also has a traveling front solution. We study how the speed and the traveling profile depend on nonlinear terms.",
keywords = "Perturbation, Traveling waves",
author = "Masaharu Taniguchi",
year = "2011",
month = "9",
language = "English",
pages = "1368--1377",
journal = "Discrete and Continuous Dynamical Systems",
issn = "1078-0947",
publisher = "Southwest Missouri State University",
number = "SUPPL.",

}

TY - JOUR

T1 - Traveling fronts in perturbed multistable reaction-diffusion equations

AU - Taniguchi, Masaharu

PY - 2011/9

Y1 - 2011/9

N2 - In this paper we study the existence and non-existence of traveling front solutions in multi stable reaction-diffusion equations. If this equation has a traveling front solution, a perturbed equation also has a traveling front solution. We study how the speed and the traveling profile depend on nonlinear terms.

AB - In this paper we study the existence and non-existence of traveling front solutions in multi stable reaction-diffusion equations. If this equation has a traveling front solution, a perturbed equation also has a traveling front solution. We study how the speed and the traveling profile depend on nonlinear terms.

KW - Perturbation

KW - Traveling waves

UR - http://www.scopus.com/inward/record.url?scp=84878186996&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84878186996&partnerID=8YFLogxK

M3 - Article

SP - 1368

EP - 1377

JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

SN - 1078-0947

IS - SUPPL.

ER -