The Moutard Transformation for the Davey-Stewartson II Equation and Its Geometrical Meaning | Sciact - Система учета научной деятельности ИМ СО РАН

The Moutard Transformation for the Davey-Stewartson II Equation and Its Geometrical Meaning Научная публикация

Журнал

Mathematical Notes
ISSN: 0001-4346 , E-ISSN: 1573-8876

Вых. Данные

Год: 2021, Том: 110, Номер: 5-6, Страницы: 754-766 Страниц : 13 DOI: 10.1134/S0001434621110122

Ключевые слова

Davey–Stewartson equation; Moutard transformation; surfaces in four-dimensional space

Авторы

Тайманов Искандер Асанович ^1,2

Организации

1	Novosibirsk State University
2	Sobolev Institute of Mathematics

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.

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

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

Web of science:	WOS:000730355100012
Scopus:	2-s2.0-85121367614
OpenAlex:	W3212954154

БД	Цитирований
Web of science	4
Scopus	5
OpenAlex	12