On the spatial asymptotics of solutions of the Ablowitz-Ladik hierarchy
classification
🧮 math-ph
math.MP
keywords
ablowitz-ladiksolutionsclosehierarchysystemtimeadditionarbitrary
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We show that for decaying solutions of the Ablowitz-Ladik system, the leading asymptotic term is time independent. In addition, two arbitrary bounded solutions of the Ablowitz-Ladik system which are asymptotically close at the initial time stay close. All results are also derived for the associated hierarchy.
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