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Stabilities and interaction dynamics for flat-top bright soliton solutions of a generalized Gross-Pitaevskii(GGP(n,n)) equation with Gaussian-harmonic-radial PT-symmetric potential

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Abstract

The PT-symmetric Gross-Pitaevskii(GP) equation is presented, which is an important and useful model in Bose-Einstein condensation(BEC). The generalized Gross-Pitaevskii(GGP(n,n)) equation has several kinds of potentials including Gaussian, harmonic and radial potentials, and it is a generalization GP equation.Then, some physically relevant solutions are derived, a kind of flat-top soliton solution is considered for the nonautonomous GGP(n,n) equation with Gaussian-harmonic-radial PT-symmetric potential. Especially, some novel flat-top bright(FTB) solitons are found, these FTB solitons can exist stably with Gaussian-harmonic-radial PT-symmetric potentials in a broad range. We investigate the interaction dynamics of between the FTB soliton and FTB soliton, the FTB soliton and bright soliton through addressing numerically. Intriguingly, the FTB solitons can admit some novel features and are different from these usual features of solitons, which have not a effected by other external waves. These results are useful for the possibility of some relative experiments and potential applications.

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Acknowledgements

This work was sponsored by the project of department education of Liaoning province, China (Grant No. LJKZ01007).

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  1. School of Mathematics and Systematic Sciences, Shenyang Normal University, Shenyang, 110034, China

    Li Li & Fajun Yu

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Li, L., Yu, F. Stabilities and interaction dynamics for flat-top bright soliton solutions of a generalized Gross-Pitaevskii(GGP(n,n)) equation with Gaussian-harmonic-radial PT-symmetric potential. Nonlinear Dyn 110, 3721–3735 (2022). https://doi.org/10.1007/s11071-022-07819-3

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