Seminars: I. A. Taimanov, Formation of singularities of 2D soliton equations represented by $L,A,B$-triples

SEMINARS


Joint Mathematical seminar of Saint Petersburg State University and Peking University October 20, 2022 16:00, 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