Klein et al. (J Fluid Mech 288:201–248, 1995) have formally derived a simplified asymptotic motion law for the evolution of nearly parallel vortex filaments in the context of the three dimensional Euler equation for incompressible fluids. In the present work, we rigorously derive the corresponding asymptotic motion law in the context of the Gross–Pitaevskii equation.

中文翻译：

---

Gross-Pitaevskii 方程中几乎平行的涡流丝动力学

克莱因等人。(J Fluid Mech 288:201–248, 1995) 在不可压缩流体的三维欧拉方程的背景下，正式推导出了近似平行涡旋丝演化的简化渐近运动定律。在目前的工作中，我们在 Gross-Pitaevskii 方程的背景下严格推导出相应的渐近运动定律。