Int. Math. Res. Notices 2007, no. 20, Art. ID rnm082, 55 pp (2007)
 [DOI: 10.1093/imrn/rnm082]

Algebro-geometric finite-band solutions of the Ablowitz-Ladik hierarchy

F. Gesztesy, H. Holden, J. Michor, and G. Teschl

Keywords: Ablowitz-Ladik hierarchy, discrete NLS, algebro-geometric solutions.

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.

MSC:Primary 37K15, 37K10; Secondary 39A12, 35Q55.

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ESI Preprint 1873
arXiv:nlin.SI/0611055

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