Existence of the solitary traveling waves for a system of nonlinearly coupled oscillators
on the 2d -lattice

Bak S. N.

Volume 70, № 7, 2018
(Current Issue)

2018

Том 70
№ 7

All Issues

Ukr. Mat. Zh.
Volume 69, № 4, 2017
pp. 435-444

Existence of the solitary traveling waves for a system of nonlinearly coupled oscillators on the 2d -lattice

Bak S. N.

Abstract

We consider a system of differential equations that describes the dynamics of an infinite system of nonlinearly coupled nonlinear oscillators on the 2d-lattice. By the method of critical points, we obtain a result on existence of the solitary traveling waves.

Citation Example: Bak S. N. Existence of the solitary traveling waves for a system of nonlinearly coupled oscillators on the 2d -lattice // Ukr. Mat. Zh. - 2017. - 69, № 4. - pp. 435-444.