Existence of traveling waves in Fermi–Pasta–Ulam–type systems on a 2D–lattice

被引：0
|
作者：
Bak S.M. [1 ]
Kovtonyuk G.M. [1 ]
机构：
[1] Vinnytsia Mykhailo Kotsiubynskyi State Pedagogical University, Vinnytsia
来源：
Journal of Mathematical Sciences | 2021年 / 252卷 / 4期
关键词：
2D-lattice; critical point theory; Fermi–Pasta–Ulam systems; Traveling waves;
D O I：
10.1007/s10958-020-05173-6
中图分类号：
学科分类号：
摘要：
The article deals with the Fermi–Pasta–Ulam–type systems that describe infinite systems of particles on a 2D lattice. The main result concerns the existence of the solutions corresponding to traveling waves with periodic and vanishing profiles. By means of the critical point theory, the sufficient conditions for the existence of such solutions are obtained. © 2021, Springer Science+Business Media, LLC, part of Springer Nature.
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页码：453 / 462
页数：9
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