The Sine-Gordon solitons in nematic liquid crystals under the external electric field

被引:8
|
作者
Li, Yan [1 ,2 ]
Lu, Xiaobo [1 ]
Hou, Chunfeng [1 ]
机构
[1] Harbin Inst Technol, Dept Phys, Harbin 150001, Heilongjiang, Peoples R China
[2] Heilongjiang Univ, Dept Phys Sci & Technol, Harbin 150080, Heilongjiang, Peoples R China
关键词
Nematic liquid crystals; Sine-Gordon equation; Kink and anti-kink Sine-Gordon solitons; SOLITARY WAVES;
D O I
10.1016/j.rinp.2018.06.012
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper, we study the dynamic equation of molecular motion in nematic liquid crystals when there exists the twisting disturbance of the molecular arrangement under the external electric field. After a series of derivation, we find that the evolution equation satisfies the form of Sine-Gordon equation which indicates that the molecular twisting deformation may propagate in the form of solitary waves under external electric field, and the kink and anti-kink Sine-Gordon solitary solutions are given then. The existence of a couple of kink and anti-kink Sine-Gordon solitons in nematic liquid crystals is proved. And we also discuss the influence of the velocity of the traveling wave on the solitary propagation.
引用
收藏
页码:297 / 300
页数:4
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