Gauss-Codazzi equations for generic surfaces: Equivalence to the DS linear problem with constraint, linearizability and reductions

被引：3

作者：

Konopelchenko, BG ^{[1
]}

机构：

[1] BUDKER INST NUCL PHYS, NOVOSIBIRSK 630090, RUSSIA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1997年 / 30卷 / 13期

关键词：

D O I：

10.1088/0305-4470/30/13/003

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is shown that the standard Gauss-Codazzi system of equations which describe generic surfaces immersed into the three-dimensional Euclidean space is equivalent to the two-dimensional Dirac equation (Davey-Stewartson linear problem) accompanied by a specific constraint. It is demonstrated that this system is linearizable via the parametrization of the moving trihedral by the Euler angles. Some special classes of surfaces are also considered.

引用

页码：L437 / L441

页数：5