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


Author: Johanna Michor
Journal: Proc. Amer. Math. Soc. 138 (2010), 4249-4258
MSC (2010): Primary 37K40, 37K15; Secondary 35Q55, 37K10
DOI: https://doi.org/10.1090/S0002-9939-2010-10595-6
Published electronically: July 20, 2010
MathSciNet review: 2680051
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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.


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Additional Information

Johanna Michor
Affiliation: Faculty of Mathematics, University of Vienna, Nordbergstrasse 15, 1090 Wien, Austria – and – International Erwin Schrödinger Institute for Mathematical Physics, Boltzmanngasse 9, 1090 Wien, Austria
Email: Johanna.Michor@univie.ac.at

DOI: https://doi.org/10.1090/S0002-9939-2010-10595-6
Keywords: Spatial asymptotics, Ablowitz–Ladik hierarchy
Received by editor(s): September 16, 2009
Published electronically: July 20, 2010
Additional Notes: This research was supported by the Austrian Science Fund (FWF) under Grant No. V120
Dedicated: Dedicated with great pleasure to Peter W. Michor on the occasion of his 60th birthday
Communicated by: Peter A. Clarkson
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.