Periodic traveling waves in the system of linearly coupled nonlinear oscillators on 2D-lattice

Bak, Sergiy

Archivum mathematicum, Tome 58 (2022) no. 1, pp. 1-13

Abstract (VO)

In this paper we obtain results on existence of non-constant periodic traveling waves with arbitrary speed $c>0$ in infinite system of linearly coupled nonlinear oscillators on a two-dimensional lattice. Sufficient conditions for the existence of such solutions are obtained with the aid of critical point method and linking theorem.

Détail

DOI : 10.5817/AM2022-1-1

Classification : 34C15, 37K58, 37K60, 74J30
Keywords: nonlinear oscillators; 2D-lattice; traveling waves; critical points; linking theorem

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