Work

Existence of subsonic periodic traveling waves in discrete Klein-Gordon type equations with nonlocal interaction

Year: 2024

Type: article

Abstract: The article deals with the discrete Klein-Gordon type equations that describe infinite chains of linearly coupled nonlinear oscillators with nonlocal interactions. It is assumed that each oscillator interacts with several of its neighbors on both sides. The main result concerns the existence of subsonic periodic traveling wave solutions in such equations. Sufficient conditions for the existence of such waves are established using the variational method and the linking theorem.

Source: Matematika, ìnformatika, fìzika: nauka ta osvìta.

DOI: 10.31652/3041-1955/2024-01-02-01

Authors: Serhii Bak, Halyna Kovtoniuk

Institution: Vinnytsia Mykhailo Kotsiubynskyi State Pedagogical University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4403511019

FWCI:

Cites: 24

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Related to: 10