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
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.
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页码:L437 / L441
页数:5
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