伪零曲线涡丝方程的可积性问题
Integrability aspects of the vortex filament equation for pseudo-null curves
摘要：
为了研究$3$维Lorentz空间形式中伪零曲线运动的可积性，建立了一个代数背景。作为应用，我们研究了Burgers方程与赝零涡丝方程之间的关系。还给出了拟零涡丝方程的递推算子。
英文摘要：
An algebraic background in order to study the integrability properties of pseudo-null curve motions in a $3$-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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
