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