Asymptotic stability of N-soliton states of NLS
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math-phmath.MP
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asymptoticsolitonssolutionsstabilityassumptionsasymptoiccertaincombination
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The focusing nonlinear Schrodinger equation possesses special non-dispersive solitary type solutions, solitons. Under certain spectral assumptions we show existence and asymptotic stability of solutions with the asymptoic profile (as time goes to infinity) of a linear combination of N non-colliding solitons.
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