https://doi.org/10.1140/epjp/s13360-024-04930-9
Regular Article
Stability of solitons in Bose–Einstein condensates with cubic–quintic–septic nonlinearity and non-
-symmetric complex potentials
1
Research Group of Nonlinear Optical Science and Technology, School of Mathematical and Physical Sciences, Wuhan Textile University, 430200, Wuhan, China
2
Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University, P.O. Box 12, 23000, Annaba, Algeria
c
syz@wtu.edu.cn
e
qinzhou@whu.edu.cn
Received:
26
December
2023
Accepted:
20
January
2024
Published online:
2
February
2024
This work investigates the existence and stability of soliton families in cubic–quintic–septic Gross–Pitaevskii equation under non--symmetric complex potentials. The cubic and quintic nonlinearity parameters are fixed to be respective defocusing and focusing, and the septic nonlinearity parameter is defocusing or focusing. The existence and stability domains and the variety rules of chemical potentials are influenced appreciably by the septic nonlinearity parameter. For cases below phase transition, the single- and two-peak solitons with focusing septic nonlinearities and two-peak soliton with defocusing septic nonlinearity are stable at the domain with small condensate norm. The single-peak soliton with defocusing septic nonlinearity has two stable domains with small and large condensate norm. For cases above phase transition, the single- and two-peak solitons with focusing septic nonlinearities and two-peak soliton with defocusing septic nonlinearity do not have stable domain. While the single-peak soliton with defocusing septic nonlinearity has a stable domains with large condensate norm. The mutual corroborations between the linear-stability spectra and transmission under perturbations prove the reliability of the result.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.