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Joint Mathematical seminar of Saint Petersburg State University and Peking University
October 20, 2022 16:00–17:00, St. Petersburg, online
 


Formation of singularities of 2D soliton equations represented by $L,A,B$-triples

I. A. Taimanov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

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

Language: English
 
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