Algebro-Geometric Finite-Gap Solutions of the Ablowitz-Ladik Hierarchy

Details Algebro-Geometric Finite-Gap Solutions of the Ablowitz-Ladik Hierarchy Algebro-Geometric Finite-Gap Solutions of the Ablowitz-Ladik Hierarchy

2006-11-29

arxiv.org/abs/nlin/0611055v3

Int. Math. Res. Not. 2007, no. 20, Art. ID rnm082, 55 pp

Nonlinear Sciences

Exactly Solvable and Integrable Systems

41 pages

Scientific paper

10.1093/imrn/rnm082

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.

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