Existence and uniqueness of traveling waves for a monostable 2-D lattice dynamical system

Jong Shenq Guo*, Chang-Hong Wu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

32 Scopus citations

Abstract

We study traveling waves for a two-dimensional lattice dynamical system with monostable nonlinearity. We prove that there is a minimal speed such that a traveling wave exists if and only if its speed is above this minimal speed. Then we show the uniqueness (up to translations) of wave profile for each given speed. Moreover, any wave profile is strictly monotone.

Original languageEnglish
Pages (from-to)327-346
Number of pages20
JournalOsaka Journal of Mathematics
Volume45
Issue number2
StatePublished - 1 Jun 2008

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