Poisson geometry of the Ablowitz-Ladik equations

This research seeks to understand the Poisson Geometry of the Ablowitz-Ladik equations (AL), an integrable discretization of the Non-linear Schrodinger equation (NLS) first proposed by Ablowitz and Ladik in the 70's. More specifically, to argue that the AL hierarchy (an integrable hierarchy of...

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Bibliographic Details
Main Author: Lozano, Guadalupe I.
Other Authors: Ercolani, Nicolas M.
Language:en_US
Published: The University of Arizona. 2004
Subjects:
Online Access:http://hdl.handle.net/10150/290120