ON EXISTENCE OF SOLITARY TRAVELING WAVES IN FERMI-PASTA-ULAM TYPE SYSTEMS ON 2D-LATTICE
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Bak, Sergiy
Kovtonyuk, Galyna
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Abstract
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.
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Citation
Bak 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.