[PII: S 0002-9939(2010)10595-6]
On the spatial asymptotics of solutions of the Ablowitz-Ladik hierarchy
J. Michor
Keywords: Spatial asymptotics, Ablowitz-Ladik Hierarchy.
Abstract: 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.
MSC: Primary 37K40, 37K15; Secondary 35Q55, 37K10.
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