- 04-413 Irina Nenciu
- Lax pairs for the Ablowitz-Ladik system via orthogonal polynomials on the unit circle
Dec 14, 04
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Abstract. Nenciu 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 settings.