English

Travelling waves in nonlinear magneto-inductive lattices

Mathematical Physics 2024-01-26 v1 math.MP

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

Keywords

Cite

@article{arxiv.2401.14108,
  title  = {Travelling waves in nonlinear magneto-inductive lattices},
  author = {M. Agaoglou and M. Feckan and M. Pospisil and V. M. Rothos and H. Susanto},
  journal= {arXiv preprint arXiv:2401.14108},
  year   = {2024}
}

Comments

21 pages

R2 v1 2026-06-28T14:26:57.224Z