Uniqueness and stability of traveling waves for periodic monostable lattice dynamical system
The authors study the traveling waves for a lattice dynamical system with monostable nonlinearity in a periodic medium. It is well known that there exists a minimal wave speed such that a traveling wave exists if and only if the wave speed is above this minimal wave speed. The present paper derives a stability theorem for certain waves of non-minimal speed and shows that wave profiles of a given speed are unique up to translations.
scientific article; zbMATH DE number 5555282