Travelling waves in nonlinear magneto-inductive lattices

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...

Full description

Saved in:
Bibliographic Details
Published in:Journal of Differential Equations 2016-01, Vol.260 (2), p.1717-1746
Main Authors: Agaoglou, M., Fečkan, M., Pospíšil, M., Rothos, V.M., Susanto, H.
Format: Article
Language:English
Subjects:
Forced magneto-inductive lattice
Lattice wave
Mathematics
Travelling wave
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0022-0396
1090-2732
DOI:10.1016/j.jde.2015.09.043