Geodesic
Elliptic solutions of~nonlinear equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 84 (1990) no. 1, pp. 38-45

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A method is described for constructing algebraic curves whose theta functions reduce to one-dimensional functions. This makes it possible to construct finite-gap solutions of nonlinear equations expressed in terms of the elliptic functions. Elliptic two-gap potentials of the Schrödinger operator different from the Lamé and Verdier potentials are constructed. 
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     author = {I. A. Taimanov},
     title = {Elliptic solutions of~nonlinear equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {38--45},
     publisher = {mathdoc},
     volume = {84},
     number = {1},
     year = {1990},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1990_84_1_a3/}
}
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I. A. Taimanov. Elliptic solutions of~nonlinear equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 84 (1990) no. 1, pp. 38-45. http://geodesic.mathdoc.fr/item/TMF_1990_84_1_a3/