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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.
Disclosure statement
No potential conflict of interest was reported by the authors.
Additional information
Funding
This work was supported by the Basic Scientific Research Project of Provincial Colleges and Universities in Heilongjiang Province, under Grant [No. KJCXZD201723]; the Youth Science Foundations of Heilongjiang University, under Grant [No. QL201606]; the basic scientific research funds for Heilongjiang University special project of Heilongjiang Province, under Grant [No. HDJCCX-201624, No. HDJCCX-201625]; the Natural Science Foundation of Heilongjiang Province of China, under Grant [No. A2017008].