Homoclinic traveling waves in discrete sine–Gordon equation with nonlinear interaction on 2D–lattice

Author
S. M. Bak
Vinnytsia Mykhailo Kotsiubynskyi State Pedagogical University, Vinnytsia, Ukraine
Abstract
The article deals with the discrete sine–Gordon equation that describes an infinite system of particles with nonlinear interaction and on-site potential on 2D–lattice. The main result concerns the existence of homoclinic traveling waves solutions. By means of critical point theory, we obtain sufficient conditions for the existence of such solutions.
Keywords
discrete sine–Gordon equation; 2D–lattice; homoclinic traveling waves; critical points
DOI
doi:10.30970/ms.52.2.176-184
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Pages
176-184
Volume
52
Issue
2
Year
2019
Journal
Matematychni Studii
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