关于1+1和2+1维色散和无色散涡丝方程的注记
Notes on dispersionful and dispersionless vortex filament equations in 1+1 and 2+1 dimensions
摘要：
本文研究了1+1和2+1维的涡丝方程。其中有些方程是可积的。并给出了带势和自洽势的VFE。最后考虑了几个可积无色散VFE（dVFE）的例子。
英文摘要：
The vortex filament equations (VFE) in 1+1 and 2+1 dimensions are considered. Some of these equations are integrable. Also the VFE with potentials and with self-consistent potentials are presented. Finally several examples of integrable dispersionless VFE (dVFE) are considered.
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。
