Abstract
A system of differential equations that describes the dynamics of an infinite system of linearly coupled nonlinear oscillators on a 2D-lattice is considered. The exponential estimate of the solution and some results on the existence of periodic and solitary traveling waves are obtained.
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Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 7, No. 2, pp. 154–175, April–May, 2010.
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Bak, S.N., Pankov, A.A. Traveling waves in systems of oscillators on 2D-lattices. J Math Sci 174, 437–452 (2011). https://doi.org/10.1007/s10958-011-0310-1
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DOI: https://doi.org/10.1007/s10958-011-0310-1