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 
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/
@article{ZNSL_1983_129_a0,
     author = {A. I. Bobenko},
     title = {Finite-gap solutions in terms of automorphic functions. {The} {Kadomcev{\textendash}Petviashvily} equation},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {5--16},
     year = {1983},
     volume = {129},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_129_a0/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The expression of finite-gap solutions of the Kadomcev–Petviashvily equation in terms of the theta-series of Poincare is obtained.