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- W4290991010 abstract "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. • Numerical search for static quasi-breathers using a new initial condition obtained by a regular perturbation of the null solution. • Appearance of a robust quasi-breather after a minimum critical value for the frequency of the initial condition. • The robustness of the new quasi-breather supports its experimental search in real graphene superlattice devices." @default.
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- W4290991010 date "2022-09-01" @default.
- W4290991010 modified "2023-10-03" @default.
- W4290991010 title "Numerical search for the stationary quasi-breather of the graphene superlattice equation" @default.
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- W4290991010 doi "https://doi.org/10.1016/j.chaos.2022.112530" @default.
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