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Zhidk. krist. ikh prakt. ispol'z. = Liq. Cryst. and their Appl., 2017, 17 (2), 78—85. DOI: 10.18083/LCAppl.2017.2.78
To the Problem of Chevron Type Macroinhomogenities Appeared in Ferroelectric Liquid Crystals
D. N. Migranova1, R. N. Ismagilova2,3, N. G. Migranov4, D. V. Kondratyev5,6
Author affiliations 1Eastern Economics and Law Humanities Academy, 3 Mubarjakova St., Ufa, 450092, Russia 2LLC "BashNIPIneft", 86/1 Lenin St., Ufa, 450006, Russia 3Bashkir State Pedagogical University, 3a October revolution St., Ufa, 450000, Russia 4Institute of Mechanics Ufa Research Centre RAS, 71 October Av., Ufa, 450008, Russia 5Academy of Sciences of Republic Bashkortostan, 15 Kirov St., Ufa, 450008, Russia 6Bashkir Cooperative Institute (branch) of the Russian Cooperative University, 26 Lenin St., Ufa, 450000, Russia E-mail: email@example.com
Abstract A system of nonlinear differential equations describing surface stabilized ferroelectric liquid crystal SmC* in the chevron’s geometry in the framework of continual model is considered. The purpose of this work is obtaining of new solutions describing the appearance of chevrons. It is shown that the solution expressed through the elliptic functions allows to explain the appearance and structure of chevrons. The energy of the ferroelectric liquid crystal is estimated using the solution expressed in terms of the elliptical sine.