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

Fritz Gesztesy·Helge Holden·Johanna Michor·Gerald Teschl
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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.

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Fritz Gesztesy, Helge Holden, Johanna Michor, Gerald Teschl. 2007-11-11. Algebro-Geometric Finite-Gap Solutions of the Ablowitz-Ladik Hierarchy. https://doi.org/10.1093/imrn%2Frnm082

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