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Geometry of the Moutard transformations of two-dimensional Dirac operators Conference attendances

Language Английский
Participant type Пленарный
URL https://www.mathnet.ru/php/conference.phtml?confid=2341&option_lang=eng
Conference International Conference «Nonlocal and Nonlinear Problems»
23-28 Oct 2023 , Москва
Authors Taimanov I.A. 1
Affiliations
1 Sobolev Institute of Mathematics

Abstract: We expose the Moutard transformation for two-dimensional Dirac operators, We explain its geometric meaning using spinor representations of surfaces in four-dimensional space and indicate some applications for constructing exact solutions of two-dimensional soliton equations (Davy-Stewartson II and modified Veselov-Novikov).
Cite: Taimanov I.A.
Geometry of the Moutard transformations of two-dimensional Dirac operators
International Conference «Nonlocal and Nonlinear Problems» 23-28 Oct 2023