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.

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Bibliographic Details
Published in:International mathematics research notices 2007-01, Vol.2007
Main Authors: Gesztesy, Fritz, Holden, Helge, Michor, Johanna, Teschl, Gerald
Format: Article
Language:English
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Summary: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.
ISSN:1073-7928
1687-0247
DOI:10.1093/imrn/rnm082