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| In this talk, we consider one-dimensional quasi-periodically forced nonlinear Schrodinger equation $\mathrm{i}u_{t}=u_{xx}-V(x)u+\varepsilon g(\omega t,x)|u|^2 u$ on $[0,\pi]\times \mathbb {R}$ under Dirichlet boundary condition, where $\varepsilon$ is a small positive real number and $g(\omega t,x)$ is analytic with respect to all variables and quasi-periodic in time. We prove that for a prescribed analytic and periodic even potential $V(x)$, the above equation admits small-amplitude quasi-periodic solutions. |
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