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

Mathematical Physics 2010-12-07 v1 math.MP

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.

Keywords

Cite

@article{arxiv.0909.3372,
  title  = {On the spatial asymptotics of solutions of the Ablowitz-Ladik hierarchy},
  author = {Johanna Michor},
  journal= {arXiv preprint arXiv:0909.3372},
  year   = {2010}
}

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9 pages