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Regular and Chaotic Dynamics, 2025, Volume 30, Issue 4, Pages 612–617
DOI: https://doi.org/10.1134/S1560354725040100 (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
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DOI: https://doi.org/10.1134/S1560354725040100
Abstract: 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.
Keywords: spinor representation of surfaces, surface deformation, Davey – Stewartson II equation, Moutard transformation, singularity formation, two-dimensional Dirac operators
Funding agency Grant number
Natural Science Foundation of China 11801274
Japan Society for the Promotion of Science S24040
Yunnan Normal University Open Projects YNNUMA2403
Soochow University Open Projects SDGC2418
Ministry of Science and Higher Education of the Russian Federation 075-15-2025-348
Research of the first author (Y.C.H.) is partially supported by the National NSF grant of China (no. 11801274), the JSPS Invitational Fellowship for Research in Japan (no. S24040), and the Open Projects from Yunnan Normal University (no. YNNUMA2403) and Soochow University (no. SDGC2418). Research of the second author (I.A.T.) is supported by the Mathematical Center in Akadem- gorodok under Agreement No. 075-15-2025-348 with the Ministry of Science and Higher Education of the Russian Federation. The work was mainly done during the visit of the first author to the Sobolev Institute of Mathematics (January–February 2025).
Received: 13.05.2025
Accepted: 09.08.2025
Document Type: Article
MSC: 53A05, 35B38, 35Q51, 53C42
Language: English
Citation: Yi C. Huang, Iskander A. Taimanov, “The Ozawa Solution to the Davey – Stewartson II Equations and Surface Theory”, Regul. Chaotic Dyn., 30:4 (2025), 612–617
Citation in format AMSBIB
\Bibitem{HuaTai25}
\by Yi C. Huang, Iskander A. Taimanov
\paper The Ozawa Solution to the Davey – Stewartson II Equations and Surface Theory
\jour Regul. Chaotic Dyn.
\yr 2025
\vol 30
\issue 4
\pages 612--617
\mathnet{http://mi.mathnet.ru/rcd1324}
\crossref{https://doi.org/10.1134/S1560354725040100}
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