Abstract
The stability properties of dark solitons in quasi-one-dimensional Bose–Einstein condensate (BEC) loaded in a Jacobian elliptic sine potential with three-body interactions are investigated theoretically. The solitons are obtained by the Newton-Conjugate Gradient method. A stationary cubic-quintic nonlinear Schrödinger equation is derived to describe the profiles of solitons via the multi-scale technique. It is found that the three-body interaction has distinct effect on the stability properties of solitons. Especially, such a nonlinear system supports the so-called dark solitons (kink or bubble), which can be excited not only in the gap, but also in the band. The bubbles are always linearly and dynamically unstable, and they cannot be excited if the three-body interaction is absent. Both stable and unstable kinks, depending on the physical parameters, can be excited in the BEC system.
Highlights
The stability properties of dark solitons in quasi-one-dimensional Bose–Einstein condensate (BEC) loaded in a Jacobian elliptic sine potential with three-body interactions are investigated theoretically
It is well known that the dynamics of BECs are usually described by the nonlinear Gross-Pitaevskii equation (GPE) under mean-field approximation at extremely low temperature[8,9,10]
There are less works on investigating the linear stability properties of dark solitons in a quasi-1D BEC loaded in a Jacobian elliptic potential with three-body interactions
Summary
The stability properties of dark solitons in quasi-one-dimensional Bose–Einstein condensate (BEC) loaded in a Jacobian elliptic sine potential with three-body interactions are investigated theoretically. There are less works on investigating the linear stability properties of dark solitons in a quasi-1D BEC loaded in a Jacobian elliptic potential with three-body interactions.
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