Travelling waves in nonlinear magneto-inductive lattices
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866910307838853120 |
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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 |