Existence of solitary traveling waves in discrete Klein–Gordon-type equations with nonlocal interaction

被引：0
|
作者：
Serhii M. Bak [1 ]
Halyna M. Kovtoniuk [1 ]
机构：
[1] Vinnytsia Mykhailo Kotsiubynskyi State Pedagogical University,
来源：
Journal of Mathematical Sciences | 2024年 / 285卷 / 5期
关键词：
Solitary traveling waves; discrete Klein–Gordon-type equations; nonlinear oscillators; nonlocal interaction; critical point theory; periodic approximations;
D O I：
10.1007/s10958-024-07462-w
中图分类号：
学科分类号：
摘要：
The article deals with discrete Klein–Gordon-type equations that describe infinite chains of linearly coupled nonlinear oscillators with nonlocal interaction. It is assumed that every oscillator interacts with several neighbors on both sides. The main result concerns the existence of solitary traveling wave solutions for such equations. By means of the critical point theory, sufficient conditions for the existence of such solutions are obtained.
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页码：639 / 651
页数：12
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