Domain wall dynamics in magnetic nanotubes driven by an external magnetic field<xref rid="cpb_27_7_077505_fn1" ref-type="fn">*</xref><fn id="cpb_27_7_077505_fn1"> <label>*</label><p>Project supported by the National Natural Science Foundation of China (Grant No. 61774001), the National Social Science Foundation of China (Grant No. 17BJY103), the Key Project of Scientific and Technological Research in Hebei Province, China (Grant No. ZD2015133), and the Construction Project of Graduate Demonstration Course in Hebei Province, China (Grant No. 94/220079). Peng-Bin He was supported by the Natural Science Foundation of Hunan Province, China (Grant No. 2017JJ2045).</p></fn>

Domain wall dynamics in magnetic nanotubes driven by an external magnetic field* *

Project supported by the National Natural Science Foundation of China (Grant No. 61774001), the National Social Science Foundation of China (Grant No. 17BJY103), the Key Project of Scientific and Technological Research in Hebei Province, China (Grant No. ZD2015133), and the Construction Project of Graduate Demonstration Course in Hebei Province, China (Grant No. 94/220079). Peng-Bin He was supported by the Natural Science Foundation of Hunan Province, China (Grant No. 2017JJ2045).

Li Zai-Dong^{1, 2, †}, Hu Yue-Chuan¹, He Peng-Bin³, Sun Lin-Lin^{4, ‡}

Vortex-like DW and cylindrical coordinates used in the calculation.