A new uniqueness theorem of wave profiles for a 2-d bistable lattice dynamical system
The wave propagation dynamics of bistable lattice dynamical systems was extensively studied in literatures. It is a challenging problem if the wave profiles are unique up to translation. In this note, the authors establish a new uniqueness theorem of wave profiles for a 2-D bistable lattice dynamical system with global interaction. The obtained result greatly extends the known results in the literature, which need the monotonicity and smoothness restrictions on the wave profiles.
scientific article; zbMATH DE number 7317520