1Vinnytsia Mykhailo Kotsiubynskyi State Pedagogical University, Vinnytsia, Ukraine
Acta mathematica Universitatis Comenianae, Tome 91 (2022) no. 3, pp. 1-10
Citer cet article
Sergiy Bak; Sergiy Bak. Periodic traveling waves in a system of nonlinearly coupled nonlinear oscillators on a two-dimensional lattice. Acta mathematica Universitatis Comenianae, Tome 91 (2022) no. 3, pp. 1-10. http://geodesic.mathdoc.fr/item/AMUC_2022_91_3_a2/
@article{AMUC_2022_91_3_a2,
author = {Sergiy Bak and Sergiy Bak},
title = { Periodic traveling waves in a system of nonlinearly coupled nonlinear oscillators on a two-dimensional lattice},
journal = {Acta mathematica Universitatis Comenianae},
pages = {1--10},
year = {2022},
volume = {91},
number = {3},
url = {http://geodesic.mathdoc.fr/item/AMUC_2022_91_3_a2/}
}
TY - JOUR
AU - Sergiy Bak
AU - Sergiy Bak
TI - Periodic traveling waves in a system of nonlinearly coupled nonlinear oscillators on a two-dimensional lattice
JO - Acta mathematica Universitatis Comenianae
PY - 2022
SP - 1
EP - 10
VL - 91
IS - 3
UR - http://geodesic.mathdoc.fr/item/AMUC_2022_91_3_a2/
ID - AMUC_2022_91_3_a2
ER -
%0 Journal Article
%A Sergiy Bak
%A Sergiy Bak
%T Periodic traveling waves in a system of nonlinearly coupled nonlinear oscillators on a two-dimensional lattice
%J Acta mathematica Universitatis Comenianae
%D 2022
%P 1-10
%V 91
%N 3
%U http://geodesic.mathdoc.fr/item/AMUC_2022_91_3_a2/
%F AMUC_2022_91_3_a2
The system of ordinary differential equations that describes the dynamics of an infinite system of nonlinearlycoupled nonlinear oscillators on a two-dimensional lattice is considered. By means of the critical points method, a result on existence of non-constant periodic traveling waves with an arbitrary positive speed is obtained.
