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

被引：6

作者：

Taimanov, I. A. ^{[1
,2
]}

机构：

[1] Novosibirsk State Univ, Novosibirsk 630090, Russia

[2] Russian Acad Sci, Sobolev Inst Math, Siberian Branch, Novosibirsk 630090, Russia

来源：

MATHEMATICAL NOTES | 2021年 / 110卷 / 5-6期

基金：

俄罗斯科学基金会;

关键词：

Davey-Stewartson equation; Moutard transformation; surfaces in four-dimensional space; 2-DIMENSIONAL DIRAC OPERATORS; UP SOLUTIONS; BLOW-UP; SURFACES;

D O I：

10.1134/S0001434621110122

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：754 / 766

页数：13

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