Bright soliton in an expulsive potential in a dipolar condensate

We study the stability of matter-wave bright solitons for a dipolar Bose–Einstein condensate in a harmonic potential which is transversely attractive and longitudinally expulsive. We map the regimes of stability as a function of dipole–dipole interaction strength using sech-based variational ansatz. The critical points for collapse and explosion are presented.

► We investigate the stability properties of dipolar BEC in an expulsive potential.
► The instability occurs when the condensate aspect ratio is equal to one.
► The effect of the dipolar interaction is the decreased critical number of atoms.
► The explosion is suppressed for large values of dipolar interaction strength.