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$\vec{u} = (u_1,u_2, \cdots, u_n,\cdots, u_N)$ \begin{align} i\dot{u}_n = \frac{u_n}{|n-1|^{1+\alpha}} + \sum\limits_{\substack{2\leq m \leq N-1 \\ m\neq n} }\frac{u_n -u_m}{|n-m|^{1+\alpha}} + \frac{u_n}{|n-N|^{1+\alpha}} - |u_n|^2 u_n \end{align} for $2\leq n \leq N-1$
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Tue, 13 Jun 2023 15:42 GMT