Int. Math. Res. Not. 2007, Art. ID rnm082, 55 pp (2007) [DOI: 10.1093/imrn/rnm082]
Algebro-Geometric Finite-Band Solutions of the Ablowitz-Ladik Hierarchy
We provide a detailed derivation of all complex-valued algebro-geometric finite-band solutions of the Ablowitz-Ladik hierarchy. In addition, we survey a recursive construction of the Ablowitz-Ladik hierarchy and its zero-curvature and Lax formalism.