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This paper is concerned with the pulsating traveling waves of a periodic lattice dynamical system with monostable nonlinearity. We first establish the exponential upper and lower bounds of the pulsating wave profiles at minus infinity. Then we prove the uniqueness result and derive the asymptotic behavior of all non-critical monostable pulsating traveling waves. This might be the first time to obtain the exact asymptotic behavior of the pulsating traveling waves for periodic discrete systems towards the unstable steady state.
- Monostable nonlinearity
- Periodic lattice dynamical system
- Pulsating traveling wave
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- 1 Finished
Interaction and Stability of Traveling Waves for Lattice Dynamical System and Reaction-Diffusion Equations(3/3)
1/08/20 → 31/07/21