Periodic traveling waves in a system of nonlinearly coupled nonlinear oscillators on a two-dimensional lattice
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Abstract
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.
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Bak, S.
(2022).
Periodic traveling waves in a system of nonlinearly coupled nonlinear oscillators on a two-dimensional lattice.
Acta Mathematica Universitatis Comenianae, 91(3), 1-10.
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