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

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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

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Exactly Solvable and Integrable Systems, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/165194

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0611055
 http://arxiv.org/abs/nlin/0611055
 Int. Math. Res. Not. 2007, no. 20, Art. ID rnm082, 55 pp
 doi:10.1093/imrn/rnm082

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arXiv