Work

Periodic traveling waves in a discrete Klein-Gordon lattice system with mutual nonlinear coupling

Year: 2025

Type: article

Abstract: This paper is devoted to the study of the existence and asymptotic behavior of periodic traveling wave solutions in a discrete Klein-Gordon lattice system with mutual nonlinear coupling. We first show the existence of nontrivial periodic traveling wave solutions for the coupled system via variational methods. Furthermore, we investigate the asymptotic behavior of these solutions. Using a monotonicity method, we show that these solutions converge to a periodic traveling wave solution of the corresponding decoupled system as the mutual coupling coefficient tends to zero.

Source: Discrete and Continuous Dynamical Systems - B

DOI: 10.3934/dcdsb.2025165

Authors: Fengshuang Duan, Hui Wei, Shuguan Ji

Institutions: Jilin University, Luoyang Normal University, Northeast Normal University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, Natural Science Foundation of Henan Province

Awards: G5591233536, G7425966349, G8161327487