Stable and oscillating solitons of PT-symmetric couplers with gain and loss in fractional dimension

Families of coupled solitons of PT-symmetric physical models with gain and loss in fractional dimension and in settings with and without cross-interactions modulation (CIM) are reported. Profiles, powers, stability areas, and propagation dynamics of the obtained PT-symmetric coupled solitons are investigated. By comparing the results of the models with and without CIM, we find that the stability area of the model with CIM is much broader than the one without CIM. Remarkably, oscillating PT-symmetric coupled solitons can also exist in the model of CIM with the same coefficients of the self- and cross-interactions modulations. In addition, the period of these oscillating coupled solitons can be controlled by the linear coupling coefficient.

Automated summary

This study reports families of coupled solitons in PT-symmetric physical models with gain and loss in fractional dimension, both with and without cross-interactions modulation (CIM). The obtained PT-symmetric coupled solitons are investigated in terms of profiles, powers, stability areas, and propagation dynamics. It is found that the stability area of the model with CIM is broader compared to the one without CIM, and oscillating PT-symmetric coupled solitons can also exist in the CIM model with the same coefficients of the self- and cross-interactions modulations. Additionally, the period of these oscillating coupled solitons can be controlled by the linear coupling coefficient.