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Nematicons in Liquid Crystals

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This paper addresses solitons in liquid crystals that are often referred to as nematicons. Exact 1-soliton solutions are obtained for nematicons with Kerr, power, parabolic and dual-power law non-linearities. Conservation laws are derived for the model. Both conserved densities and conserved quantities are all listed. The constraint conditions are in place for the existence of nematicons.
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Keywords: Conservation Laws; Liquid Crystals; Nematicons

Document Type: Research Article

Affiliations: 1: Department of Mathematics, Kuztown University of Pennsylvania, Kuztown, PA-19530, USA 2: Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA 3: School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan-430212, People’s Republic of China 4: Department of Mathematics, Howard University, Washington, DC-20059, USA 5: Department of Physics and Engineering, Delaware State University, Dover, DE19901-2277, USA 6: Science Program, Texas A&M University at Qatar P.O. Box 23874, Doha, Qatar

Publication date: November 1, 2015

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  • Journal of Computational and Theoretical Nanoscience is an international peer-reviewed journal with a wide-ranging coverage, consolidates research activities in all aspects of computational and theoretical nanoscience into a single reference source. This journal offers scientists and engineers peer-reviewed research papers in all aspects of computational and theoretical nanoscience and nanotechnology in chemistry, physics, materials science, engineering and biology to publish original full papers and timely state-of-the-art reviews and short communications encompassing the fundamental and applied research.
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