Existence of periodic traveling waves in Fermi-Pasta-Ulam type systems on 2D-lattice with saturable nonlinearities

摘要

The Fermi–Pasta–Ulam-type systems with saturable nonlinearities, namely, infinite systems of particles on a two dimensional lattice, have been considered. The main result concerns the existence of traveling-wave solutions with periodic relative displacement profiles. By means of critical point theory, sufficient conditions for the existence of such solutions have been obtained.