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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1983 Volume 47, Issue 2, Pages 384–406 (Mi im1404)

This article is cited in 11 papers

Integrable differential equations and coverings of elliptic curves

I. V. Cherednik


Abstract: An algebraic theory is presented for differential equations with operator sheaf of elliptic type (in particular, with rational sheaf of operators); this theory includes local conservation laws, Bäcklund–Darboux transformations, and algebro-geometric (e.g., multisoliton) solutions.
Bibliography: 27 titles.

UDC: 517.9

MSC: Primary 58F07, 58F25, 35Q20; Secondary 35L65, 14K07, 14F05

Received: 29.03.1982


 English version:
Mathematics of the USSR-Izvestiya, 1984, 22:2, 357–377

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