Lax pairs for the Ablowitz-Ladik system via orthogonal polynomials on the unit circle

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dc.creatorNenciu, Irina
dc.date2004-12-14
dc.date.accessioned2026-07-07T04:31:44Z
dc.date.available2026-07-07T04:31:44Z
dc.descriptionNenciu and Simon found that the analogue of the Toda system in the context of orthogonal polynomials on the unit circle is the defocusing Ablowitz-Ladik system. In this paper we use the CMV and extended CMV matrices, respectively, to construct Lax pair representations for this system in the periodic, finite, and infinite cases.
dc.description38 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0412047
dc.identifierhttp://arxiv.org/abs/math-ph/0412047
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57927
dc.subjectMathematical Physics
dc.subjectClassical Analysis and ODEs
dc.subjectExactly Solvable and Integrable Systems
dc.titleLax pairs for the Ablowitz-Ladik system via orthogonal polynomials on the unit circle
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