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Geometry of the Moutard transformations of two-dimensional Dirac operators Доклады на конференциях

Язык Английский
Тип доклада Пленарный
Url доклада https://www.mathnet.ru/php/conference.phtml?confid=2341&option_lang=eng
Конференция International Conference «Nonlocal and Nonlinear Problems»
23-28 окт. 2023 , Москва
Авторы Taimanov I.A. 1
Организации
1 Институт математики им. С.Л. Соболева СО РАН

Реферат: 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).
Библиографическая ссылка: Taimanov I.A.
Geometry of the Moutard transformations of two-dimensional Dirac operators
International Conference «Nonlocal and Nonlinear Problems» 23-28 Oct 2023