Characteristics of optical multi-peak solitons induced by higher-order effects in an erbium-doped fiber system

Abstract

We study multi-peak solitons on a plane-wave background in an erbium-doped fiber system with some higher-order effects, which is governed by a coupled Hirota and Maxwel-Bloch (H-MB) model. The important characteristics of multi-peak solitons induced by the higher-order effects, such as the velocity changes, localization or periodicity attenuation, and state transitions, are revealed in detail. In particular, our results demonstrate explicitly that a multi-peak soliton can be converted to an antidark soliton when the periodicity vanishes; on the other hand, a multi-peak soliton is transformed to a periodic wave when the localization vanishes. Numerical simulations are performed to confirm the propagation stability of multi-peak solitons riding on a plane-wave background. Finally, we compare and discuss the similarity and difference of multi-peak solitons in special degenerate cases of the H-MB system with general existence conditions.

Controllable optical superregular breathers in the femtosecond regime

“…[16][17][18] On the other hand, ultrashort pulses in the femtosecond regime are tempting and desirable to improve the capacity of high-bit-rate transmission systems. It is demonstrated that the phenomenon of optical localized waves in the femtosecond regime is significantly more complicated than that in the picosecond regime, [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33] since the higher-order terms, such as the third-order dispersion, self-steepening, and the delayed nonlinear response effect must be taken into account. Therefore, it is important to study optical localized waves in the femtosecond regime under dispersion management.…”