Existence of traveling solitary waves in Fermi–Pasta–Ulam-type systems with saturable nonlinearities on 2D-lattice
SM Bak, GM Kovtonyuk - Journal of Mathematical Sciences, 2023 - Springer
Abstract Systems of the Fermi–Pasta–Ulam type with saturable nonlinearities that describe
infinite systems of particles on a two dimensional lattice have been analyzed. The main …
infinite systems of particles on a two dimensional lattice have been analyzed. The main …
Periodic traveling waves in Fermi–Pasta–Ulam type systems with nonlocal interaction on 2d-lattice
SM Bak, GM Kovtonyuk - Matematychni Studii, 2023 - matstud.org.ua
The paper deals with the Fermi--Pasta--Ulam type systems that describe an infinite systems
of nonlinearly coupled particles with nonlocal interaction on a two dimensional lattice. It is …
of nonlinearly coupled particles with nonlocal interaction on a two dimensional lattice. It is …
Periodic traveling waves in a system of nonlinearly coupled nonlinear oscillators on a two-dimensional lattice
S Bak - Acta Mathematica Universitatis Comenianae, 2022 - iam.fmph.uniba.sk
The system of ordinary differential equations that describes the dynamics of an infinite
system of nonlinearlycoupled nonlinear oscillators on a two-dimensional lattice is …
system of nonlinearlycoupled nonlinear oscillators on a two-dimensional lattice is …
Solitary traveling waves in Fermi-Pasta-Ulam-type systems with nonlocal interaction on a 2D lattice
SM Bak, GM Kovtonyuk - Journal of Mathematical Sciences, 2024 - Springer
The article deals with the Fermi-Pasta-Ulam-type systems that describe an infinite system of
particles with nonlocal interaction on a two-dimensional lattice. It is assumed that every …
particles with nonlocal interaction on a two-dimensional lattice. It is assumed that every …
Subsonic periodic traveling waves in Fermi–Pasta–Ulam type systems with nonlocal interaction on 2d-lattice
SM Bak, HM Kovtoniuk - Matematychni Studii, 2024 - matstud.org.ua
The paper is devoted to Fermi--Pasta--Ulam type system that describe an infinite system of
nonlinearly coupled particles with nonlocal interaction on a two dimensional integer-valued …
nonlinearly coupled particles with nonlocal interaction on a two dimensional integer-valued …
Existence of solitary traveling waves in discrete Klein–Gordon-type equations with nonlocal interaction
SM Bak, HM Kovtoniuk - Journal of Mathematical Sciences, 2024 - Springer
The article deals with discrete Klein–Gordon-type equations that describe infinite chains of
linearly coupled nonlinear oscillators with nonlocal interaction. It is assumed that every …
linearly coupled nonlinear oscillators with nonlocal interaction. It is assumed that every …
Well-posedness of the Cauchy problem for system of oscillators on 2D–lattice in weighted -spaces
SM Bak, GM Kovtonyuk - Matematychni Studii, 2021 - matstud.org.ua
We consider an infinite system of ordinary differential equations that describes the dynamics
of an infinite system of linearly coupled nonlinear oscillators on a two dimensional integer …
of an infinite system of linearly coupled nonlinear oscillators on a two dimensional integer …
[引用][C] Періодичні біжучі хвилі в системах типу Фермі-Пасти-Улама із насичуваними нелінійністями на двовимірній ґратці
С Бак, Г Ковтонюк, Б Лисак
[引用][C] БІЖУЧІ ХВИЛІ В СИСТЕМІ ТИПУ ФЕРМІ-ПАСТИ-УЛАМА З НЕЛОКАЛЬНОЮ ВЗАЄМОДІЄЮ НА ДВОВИМІРНІЙ ҐРАТЦІ
С Бак, Г Ковтонюк, Н Сомик, М Куколевський