2026-06-01T13:37:55Zhttps://riuma.uma.es/rest/oai/requestoai:riuma.uma.es:10630/265522026-02-03T10:53:15Zcom_10630_2254col_10630_37953
RIUMA. Repositorio Institucional de la Universidad de Málaga
author
Martín-Vergara, Francisca
author
Rus-Mansilla, Francisco de Asís
author
Villatoro-Machuca, Francisco Román
2023-05-15T10:04:23Z
2023-05-15T10:04:23Z
2021-10
Martin-Vergara, Rus, F., & Villatoro, F. R. (2021). Fractal structure of the soliton scattering for the graphene superlattice equation. Chaos, Solitons and Fractals, 151, 111281–. https://doi.org/10.1016/j.chaos.2021.111281
https://hdl.handle.net/10630/26552
10.1016/j.chaos.2021.111281
The graphene superlattice equation, a modified sine-Gordon equation, governs the propagation of solitary electromagnetic waves in a graphene superlattice. This equation has kink solutions without explicit analytical expression, requiring the use of quadrature methods. The inelastic collision of kinks and antikinks with the same but opposite speed is studied numerically for the first time; after their interaction they escape to infinity when its speed is either larger than a critical value or it is inside a series of resonance windows; otherwise, they form a breather-like state that slowly decays by radiating energy. Here, the fractal structure of these resonance windows is characterized by using a multi-index notation and their main features are compared with the predictions of the resonant energy exchange theory showing good agreement. Our results can be interpreted as new evidence in favour of this theory.
eng
Attribution-NonCommercial-NoDerivatives 4.0 Internacional Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Ondas electromagnéticas - Propagación
Fractal structure of the soliton scattering for the graphene superlattice equation
journal article
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Art3_Fractal_Soliton_scattering_for_the_graphene_superlattice_equation.pdf