Back to Search Start Over

Travelling waves in nonlinear magneto-inductive lattices

Authors :
Agaoglou, M.
Feckan, M.
Pospisil, M.
Rothos, V. M.
Susanto, H.
Source :
Journal of Differential Equations, Volume 260, Issue 2, 2016, Pages 1717-1746
Publication Year :
2024

Abstract

We consider a lattice equation modelling one-dimensional metamaterials formed by a discrete array of nonlinear resonators. We focus on periodic travelling waves due to the presence of a periodic force. The existence and uniqueness results of periodic travelling waves of the system are presented. Our analytical results are found to be in good agreement with direct numerical computations<br />Comment: 21 pages

Subjects

Subjects :
Mathematical Physics
34-xx, 34Dxx

Details

Database :
arXiv
Journal :
Journal of Differential Equations, Volume 260, Issue 2, 2016, Pages 1717-1746
Publication Type :
Report
Accession number :
edsarx.2401.14108
Document Type :
Working Paper
Full Text :
https://doi.org/10.1016/j.jde.2015.09.043