About travelling waves in Fermi–Pasta–Ulam system on 2D–lattice

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Bak, Sergiy Mykolaiovych

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We study the Fermi-Pasta-Ulam system that describes the dynamics of an in nite system of nonlinearly coupled particles on two dimensional lattice. We obtain, by means of the critical points method, a results on the existence of nonconstant periodic and solitary travelling waves.

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Bak S. About travelling waves in Fermi–Pasta–Ulam system on 2D–lattice. Abstracts of the XI International V. Skorobohatko Mathematical Conference (Lviv, 26.10.2020-30.10.2020). Lviv, 2020. P. 10.

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