Sine-Gordon Solitons and Breathers in Rod-like Magnetic Liquid Crystals under External Magnetic Field |
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| Authors: | Yan Li Xiao-Bo Lu Chun-Feng Hou |
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| Affiliation: | 1. Department of Physics, Harbin Institute of Technology, Harbin 150001, China;2. Department of Physics Science and Technology, Heilongjiang University, Harbin 150080, China |
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| Abstract: | To study the nonlinear phenomena in rod-like magnetic liquid crystals (RMLCs), this paper establishes the dynamic model of molecular motion when giving a twisting disturbance to the molecules under external magnetic field. We find the twist of the molecules under magnetic field can be propagated in the form of a traveling wave. The dynamic equation of the molecular twisting we derived satisfies the form of Sine-Gordon equation. We obtain two solutions of the Sine-Gordon equation by theoretical calculation: the kink and anti-kink solitons and breathers. The characteristics of those solitons and breathers are discussed. |
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| Keywords: | rod-like magnetic liquid crystals Sine-Gordon equation kink and anti-kink solitons breathers |
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