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Existence of solitary traveling waves in a system of nonlinearly coupled oscillators on the 2D lattice
(2017)
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 the ...
The existence of heteroclinic traveling waves in the discrete sine-Gordon equation with nonlinear interaction on a 2D-lattice
(2018)
The article deals with the discrete sine-Gordon equation that describes an infinite system of nonlinearly coupled nonlinear oscillators on a 2D-lattice with the external potential V (r) = K(1-cos r). The main result concerns ...