Existence of solitary traveling waves in Fermi-Pasta-Ulam system on 2D–lattice
Date
2018
Authors
Бак, С. М.
Bak, S. M.
Ковтонюк, Г. М.
Kovtonyuk, G. M.
Journal Title
Journal ISSN
Volume Title
Publisher
matematychni Studii
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.
Description
Keywords
solitary traveling waves, fermi-Pasta-Ulam system, 2-d lattice, critical points
Citation
Bak S. M. Existence of solitary traveling waves in Fermi-Pasta-Ulam system on 2D–lattice / S. M. Bak, G. M. Kovtonyuk // Mat. Stud. 50 (2018), – P. 75–87