By using the method of critical points and the concentration-compactness principle, we study the problem of existence of heteroclinic traveling waves for a system of linearly coupled nonlinear oscillators on a two-dimensional lattice.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 57, No. 3, pp. 45–52, July–September, 2014.
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Bak, S.M. Existence of Heteroclinic Traveling Waves in a System of Oscillators on a Two-Dimensional Lattice. J Math Sci 217, 187–197 (2016). https://doi.org/10.1007/s10958-016-2966-z
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DOI: https://doi.org/10.1007/s10958-016-2966-z