Travelling waves in nonlinear magneto-inductive lattices
type: Item
instance of: scholarly article
title: Travelling waves in nonlinear magneto-inductive lattices
zbMATH Open document ID: 1341.34073
author: N. E. Zubov
published in: Journal of Differential Equations
publication date: 2015-11-09T00:00:00Z
review text: A lattice equation with nonlinearities is considered. This equation models the dynamics of electromagnetic waves in so-called magneto-inductive metamaterials. Existence and uniqueness of travelling periodic solutions of the considered equation are studied. These solutions are due to a periodic forcing. Some results on bifurcation and modulational stability of such solutions are also given. The presented analytical results are in good agreement with direct numerical computations obtained in the last section of the paper.
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 34K05
Mathematics Subject Classification ID: 34K18
zbMATH DE Number: 6506401
zbMATH Keywords: travelling wave
zbMATH Keywords: lattice wave
zbMATH Keywords: forced magneto-inuctive lattice
reviewed by: Panagiotis Ch. Tsamatos
MaRDI profile type: Publication
full work available at URL: j.jde.2015.09.043
OpenAlex ID: W1780678978
cites work: Bifurcation Results for Traveling Waves in Nonlinear Magnetic Metamaterials
cites work: Q4146134
cites work: Q5472808
cites work: Travelling Waves in Nonlinear Magnetic Metamaterials
cites work: Periodic travelling waves of forced FPU lattices
cites work: The Fermi-Pasta-Ulam problem. A status report
cites work: Q4252682
cites work: Gap solitons in metamaterials
cites work: Short pulse equations and localized structures in frequency band gaps of nonlinear metamaterials
DOI: 10.1016/J.JDE.2015.09.043
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description: scientific article; zbMATH DE number 6506401