Geometry of surfaces and a formation of singularities of 2D soliton equations represented by L,A,B-triples - Доклады на конференциях | Sciact - Система учета научной деятельности ИМ СО РАН

Geometry of surfaces and a formation of singularities of 2D soliton equations represented by L,A,B-triples Доклады на конференциях

Язык

Английский

Тип доклада

Пленарный

Конференция

14th Conference in Spectral Theory and Mathematical Physics, dedicated to the memory of M.Sh.Birman
19-23 июн. 2023 , Международный математический институт им. Л. Эйлера, Санкт-Петербург

Авторы

Taimanov I.A. ¹

Организации

1	Институт математики им. С.Л. Соболева СО РАН

We expose recent results on a certain geometrical mechanism of a formation of singularities of the modified Novikov–Veselov and Davey–Stewartson II equations. The singular solutions are constructed by means of surface theory. These equations are represented by L,A,B-triples and the formation of singularities is related to a degeneration of the zero level discrete spectra of the corresponding L-operators.

Taimanov I.A.
Geometry of surfaces and a formation of singularities of 2D soliton equations represented by L,A,B-triples
14th Conference in Spectral Theory and Mathematical Physics, dedicated to the memory of M.Sh.Birman 19-23 Jun 2023