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Theoretical modeling demonstrates bright soliton-like and blow-up solutions in dipolar Bose-Einstein condensates, highlighting the role of harmonic potentials.
In this paper, we study the Gross–Pitaevskii equation modeling the dipolar Bose–Einstein condensation with a harmonic potential. We derive bright soliton-like solutions and blow-up solutions by using boundary conditions and the Jacobi elliptic function approach. In particular, the influence of the harmonic potential on the dynamics of the obtained solutions is illustrated graphically.
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Fu et al. (2026) studied this question.
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