The Moutard Transformation for the Davey-Stewartson II Equation and Its Geometrical Meaning Full article
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Mathematical Notes
ISSN: 0001-4346 , E-ISSN: 1573-8876 |
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| Output data | Year: 2021, Volume: 110, Number: 5-6, Pages: 754-766 Pages count : 13 DOI: 10.1134/S0001434621110122 | ||||
| Tags | Davey–Stewartson equation; Moutard transformation; surfaces in four-dimensional space | ||||
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Abstract:
The Moutard transformation for the solutions of the Davey-Stewartson II equation is constructed. It is geometrically interpreted using the spinor (Weierstrass) representation of surfaces in four-dimensional Euclidean space. Examples of solutions that have smooth fast decaying initial data and lose regularity in finite time are constructed by using the Moutard transformation and minimal surfaces.
Cite:
Taimanov I.A.
The Moutard Transformation for the Davey-Stewartson II Equation and Its Geometrical Meaning
Mathematical Notes. 2021. V.110. N5-6. P.754-766. DOI: 10.1134/S0001434621110122 WOS Scopus OpenAlex
The Moutard Transformation for the Davey-Stewartson II Equation and Its Geometrical Meaning
Mathematical Notes. 2021. V.110. N5-6. P.754-766. DOI: 10.1134/S0001434621110122 WOS Scopus OpenAlex
Original:
Тайманов И.А.
Преобразование Мутара для уравнения Дэви–Стюартсона II и его геометрический смысл
Математические заметки. 2021. Т.110. №5. С.751-765. DOI: 10.4213/mzm13246 РИНЦ OpenAlex
Преобразование Мутара для уравнения Дэви–Стюартсона II и его геометрический смысл
Математические заметки. 2021. Т.110. №5. С.751-765. DOI: 10.4213/mzm13246 РИНЦ OpenAlex
Identifiers:
| Web of science: | WOS:000730355100012 |
| Scopus: | 2-s2.0-85121367614 |
| OpenAlex: | W3212954154 |