Abstract
We study the traveling wave front solutions for a two-dimensional periodic lattice dynamical system with monostable nonlinearity. We first show that there is a minimal speed such that a traveling wave solution exists if and only if its speed is above this minimal speed. Then we prove that any wave profile is strictly monotone. Finally, we derive the convergence of discretized minimal speed to the continuous minimal speed.
| Original language | English |
|---|---|
| Pages (from-to) | 197-223 |
| Number of pages | 27 |
| Journal | Discrete and Continuous Dynamical Systems |
| Volume | 26 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 2010 |
Keywords
- Lattice dynamical system
- Monostable
- Traveling wave
- Wave profile
- Wave speed