Integrability aspects of the vortex filament equation for pseudo-null curves

被引：5

作者：

del Amor, Jose ^{[1
]}

Gimenez, Angel ^{[2
]}

Lucas, Pascual ^{[1
]}

机构：

[1] Univ Murcia, Dept Matemat, Campus Espinardo, E-30100 Murcia, Spain

[2] Univ Miguel Hernandez Elche, Ctr Invest Operat, Avda Univ S-N, Elche 03202, Alicante, Spain

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2017年 / 14卷 / 06期

关键词：

Curve evolution; pseudo-null curves; Lie algebra; integrability; Burgers' equation; EVOLUTION; SURFACES; SYSTEMS; MOTIONS;

D O I：

10.1142/S0219887817500906

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An algebraic background in order to study the integrability properties of pseudo-null curve motions in a three-dimensional Lorentzian space form is developed. As an application, we delve into the relationship between the Burgers' equation and the pseudo-null vortex filament equation. A recursion operator for the pseudo-null vortex filament equation is also provided.

引用

页数：21

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