RT Journal Article
T1 Fractal structure of the soliton scattering for the graphene superlattice equation
A1 Martín-Vergara, Francisca
A1 Rus-Mansilla, Francisco de Asís
A1 Villatoro-Machuca, Francisco Román
K1 Ondas electromagnéticas - Propagación
AB 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.
PB Elsevier
YR 2021
FD 2021-10
LK https://hdl.handle.net/10630/26552
UL https://hdl.handle.net/10630/26552
LA eng
NO 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
NO The research reported here was partially supported by Projects DeepBIO (TIN2017-85727-C4-1-P) of the Programa Estatal de Fomento de la Investigación Científica y Técnica de Excelencia del Ministerio de Ciencia e Innovación of Spain, and RoCoSoyCo (UMA18-FEDERJA-248) of the Consejería de Economía y Conocimiento, Junta de Andalucía, Spain.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 20 ene 2026