Lax Pairs for the Ablowitz-Ladik System Via Orthogonal Polynomials on the Unit Circle

Lax Pairs for the Ablowitz-Ladik System Via Orthogonal Polynomials on the Unit Circle

<p>We investigate the existence and properties of an integrable system related to orthogonal polynomials on the unit circle. We prove that the main evolution of the system is defocusing Ablowitz-Ladik (also known as the integrable discrete nonlinear Schroedinger equation). In particular, we gi...

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Bibliographic Details
Main Author: Nenciu, Irina
Format: Others
Published: 2005
Online Access:https://thesis.library.caltech.edu/1750/2/Thesis.pdf
Nenciu, Irina (2005) Lax Pairs for the Ablowitz-Ladik System Via Orthogonal Polynomials on the Unit Circle. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/462M-V013. https://resolver.caltech.edu/CaltechETD:etd-05122005-103528 <https://resolver.caltech.edu/CaltechETD:etd-05122005-103528>

Internet

https://thesis.library.caltech.edu/1750/2/Thesis.pdf
Nenciu, Irina (2005) Lax Pairs for the Ablowitz-Ladik System Via Orthogonal Polynomials on the Unit Circle. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/462M-V013. https://resolver.caltech.edu/CaltechETD:etd-05122005-103528 <https://resolver.caltech.edu/CaltechETD:etd-05122005-103528>

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