Integrability aspects of the vortex filament equation for pseudo-null curves
Mathematical Physics
2017-05-24 v1 math.MP
Abstract
An algebraic background in order to study the integrability properties of pseudo-null curve motions in a -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.
Keywords
Cite
@article{arxiv.1612.03230,
title = {Integrability aspects of the vortex filament equation for pseudo-null curves},
author = {José del Amor and Ángel Giménez and Pascual Lucas},
journal= {arXiv preprint arXiv:1612.03230},
year = {2017}
}
Comments
18 pages. arXiv admin note: text overlap with arXiv:1603.02820