Geodesic
Finite-gap solutions in terms of automorphic functions. The Kadomcev--Petviashvily equation
Zapiski Nauchnykh Seminarov POMI, Automorphic functions and number theory. Part I, Tome 129 (1983), pp. 5-16

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The expression of finite-gap solutions of the Kadomcev–Petviashvily equation in terms of the theta-series of Poincare is obtained. 
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     author = {A. I. Bobenko},
     title = {Finite-gap solutions in terms of automorphic functions. {The} {Kadomcev--Petviashvily} equation},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     publisher = {mathdoc},
     volume = {129},
     year = {1983},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_129_a0/}
}
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A. I. Bobenko. Finite-gap solutions in terms of automorphic functions. The Kadomcev--Petviashvily equation. Zapiski Nauchnykh Seminarov POMI, Automorphic functions and number theory. Part I, Tome 129 (1983), pp. 5-16. http://geodesic.mathdoc.fr/item/ZNSL_1983_129_a0/