Algebro-Geometric Finite-Gap Solutions of the Ablowitz-Ladik Hierarchy
arXiv:nlin/0611055 · doi:10.1093/imrn/rnm082
Abstract
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.
41 pages