2026-06-01T19:48:30Zhttps://riuma.uma.es/rest/oai/request

oai:riuma.uma.es:10630/265262026-02-03T11:20:35Zcom_10630_2254col_10630_37953

Numerical search for the stationary quasi-breather of the graphene superlattice equation. Martín-Vergara, Francisca Rus-Mansilla, Francisco de Asís Villatoro-Machuca, Francisco Román Grafeno Ondas electromagnéticas Superredes The propagation of electromagnetic solitons in a graphene superlattice device is governed by a modified sine-Gordon equation, referred to as the graphene superlattice equation. Kink-antikink collisions suggest the existence of a quasi-breather solution. Here, a numerical search for static quasi-breathers is undertaken by using a new initial condition obtained by a regular perturbation of the null solution. Our results show that the frequency of the initial condition has a minimum critical value for the appearance of a robust quasi-breather able to survive during more than one thousand periods. The amplitude and energy of the quasi-breather solution decrease, but its frequency increases, as time grows. The robustness of the new quasi-breather supports its experimental search in real graphene superlattice devices. 2023-05-09T09:10:16Z 2023-05-09T09:10:16Z 2023-05-09 2022-08-11 journal article Francisca Martin-Vergara, Francisco Rus, Francisco R. Villatoro, Numerical search for the stationary quasi-breather of the graphene superlattice equation, Chaos, Solitons & Fractals, Volume 162, 2022, 112530, ISSN 0960-0779, https://doi.org/10.1016/j.chaos.2022.112530. https://hdl.handle.net/10630/26526 10.1016/j.chaos.2022.112530 eng http://creativecommons.org/licenses/by-nc-nd/4.0/ open access Attribution-NonCommercial-NoDerivatives 4.0 Internacional ELSEVIER