Osaka Journal of Mathematics
- Osaka J. Math.
- Volume 45, Number 2 (2008), 327-346.
Existence and uniqueness of traveling waves for a monostable 2-D lattice dynamical system
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.
Osaka J. Math., Volume 45, Number 2 (2008), 327-346.
First available in Project Euclid: 15 July 2008
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Guo, Jong-Shenq; Wu, Chang-Hong. Existence and uniqueness of traveling waves for a monostable 2-D lattice dynamical system. Osaka J. Math. 45 (2008), no. 2, 327--346. https://projecteuclid.org/euclid.ojm/1216151102