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arXiv · 2410.07510

Fractional Gross-Pitaevskii equations in non-Gaussian attractive Bose-Einstein condensates

Jinge Yang·Jianfu Yang
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Abstract

In this paper, we investigate normalized solutions of a fractional Gross-Pitaevskii equation, which arises in an attractive Bose-Einstein condensation consisting of $N$ bosons moving by L\'{e}vy flights. We prove that there exists a positive constant $N^*$, such that if $0 N^*$ and $\alpha$ closed to $2$. We also study the asymptotic behavior of $u_\alpha$ and $v_\alpha$ as $\alpha\to 2_-$.

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Jinge Yang, Jianfu Yang. 2024-10-10. Fractional Gross-Pitaevskii equations in non-Gaussian attractive Bose-Einstein condensates. https://arxiv.org/abs/2410.07510

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