RT Journal Article
T1 Numerical search for the stationary quasi-breather of the graphene superlattice equation.
A1 Martín-Vergara, Francisca
A1 Rus-Mansilla, Francisco de Asís
A1 Villatoro-Machuca, Francisco Román
K1 Grafeno
K1 Ondas electromagnéticas
K1 Superredes
AB 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.
PB ELSEVIER
YR 2022
FD 2022-08-11
LK https://hdl.handle.net/10630/26526
UL https://hdl.handle.net/10630/26526
LA eng
NO 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.
NO The authors thank the reviewers for their thoughtful comments and efforts toward improving our manuscript. The research reported here was supported by Project RoCoSoyCo (UMA18-FEDERJA-248) of the Consejería de Economía y Conocimiento, Junta de Andalucía, Spain.Funding for open access charge: Universidad de Málaga / CBUA
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 19 ene 2026