  In this study, an analytical investigation was conducted to assess the
effects of the extended uncertainty principle (EUP) on a Bose-Einstein
condensate (BEC) described by the deformed one-dimensional Gross-Pitaevskii
equation (GPE). Analytical solutions were derived for null potential while we
used variational and numerical methods for a harmonic oscillator potential. The
effects of EUP on stability, probability density, position, and momentum
uncertainties of BEC are analyzed. The EUP is found to be applicable for the
free dark soliton solution and in the presence of a harmonic potential within
specific ranges of the deformation parameter $\alpha$, while it is not valid
for the free bright soliton solution.
