Existence of solitary traveling waves in FermiPastaUlam system on 2D–lattice 

Author 
sergiy.bak@gmail.com^{1}, galyna.kovtonyuk@gmail.com^{2}
1) Vinnytsia Mykhailo Kotsiubynskyi State Pedagogical University, Vinnitsa, Ukraine; 2) Vinnitsa State Pedagogical University, Vinnitsa, Ukraine

Abstract 
The article deals with the Fermi–Pasta–Ulam system that describes an infinite system
of particles on 2D–lattice. The main result concerns the existence of solitary traveling wave
solutions. By means of critical point theory, we obtain sufficient conditions for the existence of
such solutions.

Keywords 
FermiPastaUlam system; 2D–lattice; solitary traveling waves; critical points

DOI 
doi:10.15330/ms.50.1.7587

Reference 
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Pages 
7587

Volume 
50

Issue 
1

Year 
2018

Journal 
Matematychni Studii

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