V. N. Davletshina, “Self-Adjoint Commuting Differential Operators of Rank 2 and Their Deformations Given by Soliton Equations”, Mat. Zametki, 2015, Volume 97, Issue 3,Pages <nobr>350

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Self-Adjoint Commuting Differential Operators of Rank 2 and Their Deformations Given by Soliton Equations

V. N. Davletshina^ab

^a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
^b Novosibirsk State University

Abstract: Deformations of commutative rings of self-adjoint ordinary differential operators of rank 2 given by soliton equations are studied.

Keywords: differential operator of rank 2, commutative ring, Tyurin parameter, soliton equation, Krichever–Novikov hierarchy, Krichever–Novikov equation, Korteweg–de Vries equation, Baker–Akhiezer function, Kadomtsev–Petviashvili equation.

UDC: 517.43

Received: 02.12.2013
Revised: 16.12.2013

DOI: 10.4213/mzm10451