Existence and asymptotic stability of quasi-periodic solution of discrete NLS with potential in mathbb{Z}
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quasi-periodicdiscretednlsexistencesmallsolutionsolutionsasymptotic
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We prove the existence of a 2-parameter family of small quasi-periodic in time solutions of discrete nonlinear Schr\"odinger equation (DNLS). We further show that all small solutions of DNLS decouples to this quasi-periodic solution and dispersive wave.
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