https://doi.org/10.1140/epjp/s13360-022-03300-7
Regular Article
Excitation of a two-component mixture of a Peregrine bump and a dark or bright pulse for the partially nonlocal coupled NLSM in BEC and optics
School of Electronics Information, Communication University of Zhejiang, 310018, Hangzhou, People’s Republic of China
Received:
29
May
2022
Accepted:
18
September
2022
Published online:
30
September
2022
We put our center of attention into a (2+1)-dimensional nonautonomous partially nonlocal coupled nonlinear Schrödinger model (NLSM) under a linear potential and its two-component solutions with different forms. In order to construct these solutions, we find a converting transformation from that nonautonomous model into the Manakov equation. Further applying the Darboux dressing technique, we construct the semirational two-component solution, including the two-component Peregrine bump solution with similar structures, and two-component mixture of a Peregrine bump and a dark or bright pulse solution with different structures. The two-component Peregrine bumps are excited under a plane wave, which is different from the typical rogue wave in the literature works. Comparing values of peak positions with the maximal value of accumulated time by altering the decreasing parameter in the exponential control system, we firstly actualize the controlling excitation of two-component solution to complete shape, drag-tail shape, peak-maintaining shape and earlier shape.
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