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Main Authors: Agaoglou, M., Feckan, M., Pospisil, M., Rothos, V. M., Susanto, H.
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2401.14108
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author Agaoglou, M.
Feckan, M.
Pospisil, M.
Rothos, V. M.
Susanto, H.
author_facet Agaoglou, M.
Feckan, M.
Pospisil, M.
Rothos, V. M.
Susanto, H.
contents 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
format Preprint
id arxiv_https___arxiv_org_abs_2401_14108
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Travelling waves in nonlinear magneto-inductive lattices
Agaoglou, M.
Feckan, M.
Pospisil, M.
Rothos, V. M.
Susanto, H.
Mathematical Physics
34-xx, 34Dxx
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
title Travelling waves in nonlinear magneto-inductive lattices
topic Mathematical Physics
34-xx, 34Dxx
url https://arxiv.org/abs/2401.14108