Ablowitz-Ladik system with discrete potential. I. Extended resolvent

Abstract

Ablowitz-Ladik linear system with range of potential equal to {0,1} is considered. The extended resolvent operator of this system is constructed and the singularities of this operator are analyzed in detail.

To be published in Theor. Math. Phys

References in corpus (2)

• Nonlinear Discrete Systems with Nonanalytic Dispersion Relations
• Discrete Schrödinger equation on finite field and associated cellular automaton