Existence of periodic travelling waves in Fermi-Pasta-Ulam system on 2D–lattice(in Ukrainian)

Author S. M. Bak
Serg³y.Bak@gmail.com
³ííèöüêèé äåðæàâíèé ïåäàãîã³÷íèé óí³âåðñèòåò ³ì. Ì. Êîöþáèíñüêîãî

Abstract It is considered the system of differential equations that describes the dynamics of an infinite system of atoms on 2D{lattice. Results on existence of the periodic travelling waves are obtained.
Keywords system of differential equation; periodic travelling waves; 2D–lattice
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Pages 76-88
Volume 37
Issue 1
Year 2012
Journal Matematychni Studii
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