Geodesic
Algebraic-geometric solutions of the Krichever--Novikov equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 121 (1999) no. 3, pp. 367-373

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A zero-curvature representation with constant poles on an elliptic curve is obtained for the Krichever–Novikov equation. Algebraic-geometric solutions of this equation are constructed. The consideration is based on reducing the theta function of a two-sheet covering of an elliptic curve to the Prym theta functions of codimension one. 
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     author = {D. P. Novikov},
     title = {Algebraic-geometric solutions of the {Krichever--Novikov} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {367--373},
     publisher = {mathdoc},
     volume = {121},
     number = {3},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1999_121_3_a1/}
}
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D. P. Novikov. Algebraic-geometric solutions of the Krichever--Novikov equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 121 (1999) no. 3, pp. 367-373. http://geodesic.mathdoc.fr/item/TMF_1999_121_3_a1/