ON EXISTENCE OF SOLITARY TRAVELING WAVES IN FERMI-PASTA-ULAM TYPE SYSTEMS ON 2D-LATTICE
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We consider the Fermi-Pasta-Ulam type systems with saturable nonlinearities that describes an infinite systems of particles on a two dimensional lattice. The main result concerns the existence of solitary traveling waves solutions with vanishing relative displacement profiles. By means of critical point theory, we obtain sufficient conditions for the existence of such solutions.