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Knotted Wave Dislocation with the Hopf Invariant

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Abstract

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.

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Correspondence to Peng-ming Zhang.

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PACS 02.10.Kn, 02.40.-k, 11.15.-q

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Zhang, Pm., Lee, Xg., Wu, Sf. et al. Knotted Wave Dislocation with the Hopf Invariant. Int J Theor Phys 46, 1753–1762 (2007). https://doi.org/10.1007/s10773-006-9307-9

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  • DOI: https://doi.org/10.1007/s10773-006-9307-9

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