Affiliation:
1. Vinnytsia Mykhailo Kotsiubynskyi State Pedagogical University, Vinnytsia, Ukraine
Abstract
The article deals with the Fermi-Pasta-Ulam-type systems that describe infinite systems of particles on a 2D lattice. The main result concerns the existence of the solutions corresponding to traveling waves with periodic and vanishing profiles. By means of the critical point theory, the sufficient conditions for the existence of such solutions are obtained.
Publisher
Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine
Reference23 articles.
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3. Bak, S. M. (2014). Existence of heteroclinic traveling waves in a system of oscillators on a two-dimensional lattice. Mat. Metody ta Fizyko-Mekhanichni Polya, 57 (3), 45–52. Transl. in: (2016). J. Math. Sci., 217 (2), 187–197. https://doi.org/10.1007/s10958-016-2966-z
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5. Bak, S. M. (2012). Existence of periodic traveling waves in Fermi-Pasta-Ulam system on 2D-lattice. Mat. Stud., 37 (1), 76–88.
Cited by
3 articles.
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