Geodesic
Commuting differential operators of rank~3, and nonlinear differential equations
Izvestiya. Mathematics , Tome 35 (1990) no. 3, pp. 629-655

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Complete solutions of the commutation equations of ordinary differential operators are obtained, to which there corresponds a three-dimensional vector bundle of common eigenfunctions over an elliptic curve. The deformation of the commuting pair by the Kadomtsev–Petviashvili equation is studied. The finite-zone solutions of the Kadomtsev–Petviashvili equation of rank 3 and genus 1 are explicitly expressed in terms of functional parameters satisfying a Boussinesq-type system of two evolution equations. Bibliography: 40 titles. 
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     author = {O. I. Mokhov},
     title = {Commuting differential operators of rank~3, and nonlinear differential equations},
     journal = {Izvestiya. Mathematics },
     pages = {629--655},
     publisher = {mathdoc},
     volume = {35},
     number = {3},
     year = {1990},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1990_35_3_a5/}
}
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O. I. Mokhov. Commuting differential operators of rank~3, and nonlinear differential equations. Izvestiya. Mathematics , Tome 35 (1990) no. 3, pp. 629-655. http://geodesic.mathdoc.fr/item/IM2_1990_35_3_a5/