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...