Bak, SergiyKovtonyuk, Galyna2023-07-172023-07-172023Bak S., Kovtonyuk G. On existence of solitary traveling waves in Fermi-Pasta-Ulam type systems on 2D-lattice. Abstracts of IV International Scientific and Practical Internet Conference «Mathematics and Informatics in Science and Education: Challenges of Modernity», dedicated to the 90th anniversary of the Department of Mathematics and Informatics (May 25-26, 2023, Vinnytsia, Ukraine) [Electronic network scientific publication]: book of abstracts. Vinnytsia, 2023. P. 66-69.https://library.vspu.net/items/2e3e4471-d9b7-4360-acd7-15c38f585f44We 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.traveling waves, Fermi-Pasta-Ulam type systems, 2D-lattice, saturable nonlinearities, critical point theory.Article