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

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.

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Datum:2017
Hauptverfasser: Bak, S. N., Бак, С. Н.
Format: Artikel
Sprache:Ukrainisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2017
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/1707
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal