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ЖУРНАЛЫ // Regular and Chaotic Dynamics // Архив

Regul. Chaotic Dyn., 2025, том 30, выпуск 4, страницы 612–617 (Mi rcd1324)

Special Issue: Celebrating the 75th Birthday of V.V. Kozlov (Issue Editors: Sergey Bolotin, Vladimir Dragović, and Dmitry Treschev)

The Ozawa Solution to the Davey – Stewartson II Equations and Surface Theory

Yi C. Huanga, Iskander A. Taimanovb

a School of Mathematical Sciences, Nanjing Normal University, 210023 Nanjing, People’s Republic of China
b Sobolev Institute of Mathematics, 630090 Novosibirsk, Russia

Аннотация: We describe the Ozawa solution to the Davey – Stewartson II equation from the point of view of surface theory by presenting a soliton deformation of surfaces which is ruled by the Ozawa solution. The Ozawa solution blows up at a certain moment and we describe explicitly the corresponding singularity of the deformed surface.

Ключевые слова: spinor representation of surfaces, surface deformation, Davey – Stewartson II equation, Moutard transformation, singularity formation, two-dimensional Dirac operators

MSC: 53A05, 35B38, 35Q51, 53C42

Поступила в редакцию: 13.05.2025
Принята в печать: 09.08.2025

Язык публикации: английский

DOI: 10.1134/S1560354725040100



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