LOCAL GEOMETRIC INVARIANTS OF INTEGRABLE EVOLUTION-EQUATIONS

被引：27

作者：

LANGER, J ^{[1
]}

PERLINE, R ^{[1
]}

机构：

[1] DREXEL UNIV, DEPT MATH & COMP SCI, PHILADELPHIA, PA 19104 USA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1994年 / 35卷 / 04期

关键词：

D O I：

10.1063/1.530567

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The integrable hierarchy of commuting vector fields for the localized induction equation of 3D hydrodynamics, and its associated recursion operator, are used to generate families of integrable evolution equations which preserve local geometric invariants of the evolving curve or swept-out surface.

引用

页码：1732 / 1737

页数：6

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