Double sine-Gordon solitons in nematic liquid crystals under applied electric and magnetic fields |
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| Authors: | Yan Li Xiaobo Lu |
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| Affiliation: | 1. Department of Physics, Harbin Institute of Technology, Harbin, People's Republic of China;2. Department of Physics Science and Technology, Heilongjiang University, Harbin, People's Republic of China |
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| Abstract: | In this paper, we derive the dynamic equation of molecular motion for a twisted nematic liquid crystal (NLC) under applied electric and magnetic fields, and show that it takes the form of a double sine-Gordon (DSG) equation. Two kink and anti-kink solitary solutions of the liquid crystal molecules are obtained by using the F-expansion method to solve the DSG equation. Finally, we confirm that the twist of the NLC molecules can propagate in the form of solitary waves. The propagation velocity and amplitude of the kink and anti-kink solitons induced by the electric and magnetic fields are discussed. |
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| Keywords: | Nematic liquid crystals double sine-Gordon equation kink and anti-kink sine-Gordon solitons |
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