caa a22 4500 463195833 CHVBK 20180406164922.0 cr unu---uuuuu 170326e20070701xx s 000 0 eng 10.1007/s10773-006-9307-9 doi (NATIONALLICENCE)springer-10.1007/s10773-006-9307-9 Knotted Wave Dislocation with the Hopf Invariant [Elektronische Daten] [Peng-ming Zhang, Xi-guo Lee, Shao-feng Wu, Yi-shi Duan] We study the wave dislocations with an induced gauge potential. The topological current characterized the wave dislocations is constructed with the dual of Abelian gauge field. And the topological charges and locations of the wave dislocations are determined by the φmapping topological current theory. Furthermore, it is shown that the knotted wave dislocations can be described with a Hopf invariant in the wave field. At last we discussed the evolution of the knotted wave dislocations. Springer Science+Business Media, LLC, 2007 wave dislocation nationallicence knot nationallicence Hopf invariant nationallicence Zhang Peng-ming Institute of Modern Physics, Chinese Academy of Sciences, P.O. Box 31, 730000, Lanzhou, P.R. China aut Lee Xi-guo Institute of Modern Physics, Chinese Academy of Sciences, P.O. Box 31, 730000, Lanzhou, P.R. China aut Wu Shao-feng Department of Mathematics, Shanghai University, 200444, Shanghai, P.R. China aut Duan Yi-shi Institute of Theoretical Physics, Lanzhou University, 730000, Lanzhou, P.R. China aut International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/7(2007-07-01), 1753-1762 0020-7748 46:7<1753 2007 46 10773 https://doi.org/10.1007/s10773-006-9307-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10773-006-9307-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Zhang Peng-ming Institute of Modern Physics, Chinese Academy of Sciences, P.O. Box 31, 730000, Lanzhou, P.R. China aut NATIONALLICENCE 700 1- Lee Xi-guo Institute of Modern Physics, Chinese Academy of Sciences, P.O. Box 31, 730000, Lanzhou, P.R. China aut NATIONALLICENCE 700 1- Wu Shao-feng Department of Mathematics, Shanghai University, 200444, Shanghai, P.R. China aut NATIONALLICENCE 700 1- Duan Yi-shi Institute of Theoretical Physics, Lanzhou University, 730000, Lanzhou, P.R. China aut NATIONALLICENCE 773 0- International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/7(2007-07-01), 1753-1762 0020-7748 46:7<1753 2007 46 10773 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer