I. Klebanov, O. A. Skaldin, A. Khanna, G. V. Sorokin
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Group analysis of equilibrium equations for a nematocholesteric
We obtain a Lie algebra admitted by the system of equilibrium equations for a nematocholesteric, which models equilibrium configurations of the elastic field in the one-constant approximation of the continuum theory. In the case of a pure nematic, the system is found to admit a ten-dimensional Lie algebra, while in the case of a cholesteric, the system admits a four-dimensional Lie algebra. In addition, we have received particular analytical solutions of the system of model equations.
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