Geodesic
Qualitative analysis and calculations of finite-gap solutions of the Korteweg--de~Vries equation. Automorphic approach
Teoretičeskaâ i matematičeskaâ fizika, Tome 72 (1987) no. 3, pp. 352-360

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The Schottky uniformisation theory is used to obtain new formulas for the characteristics of finite-gap solutions of the KdV equation. Waive number phase velocities and amplitudes are expressed in terms of Poincare series. Numerical results obtained by the method proposed are presented. 
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     author = {A. I. Bobenko and D. A. Kubenskii},
     title = {Qualitative analysis and calculations of finite-gap solutions of the {Korteweg--de~Vries} equation. {Automorphic} approach},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {72},
     number = {3},
     year = {1987},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1987_72_3_a2/}
}
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A. I. Bobenko; D. A. Kubenskii. Qualitative analysis and calculations of finite-gap solutions of the Korteweg--de~Vries equation. Automorphic approach. Teoretičeskaâ i matematičeskaâ fizika, Tome 72 (1987) no. 3, pp. 352-360. http://geodesic.mathdoc.fr/item/TMF_1987_72_3_a2/