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Том 70
№ 2
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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.