On the spatial asymptotics of solutions of the Ablowitz-Ladik hierarchy

Details On the spatial asymptotics of solutions of the Ablowitz-Ladik hierarchy On the spatial asymptotics of solutions of the Ablowitz-Ladik hierarchy

2009-09-18

arxiv.org/abs/0909.3372v1

Proc. Amer. Math. Soc. 138, 4249-4258 (2010)

Physics

Mathematical Physics

9 pages

Scientific paper

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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