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W-shaped surfaces to the nematic liquid crystals with three nonlinearity laws

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Abstract

In this work, we attempt to construct some novel solutions of nematicons within liquid crystals including three types of nonlinearity namely Kerr, parabolic, and power law, using the generalized exponential rational function method. The investigation of nematic liquid crystals, using the proposed method, shows that there is diversity between the solutions gained via this method with those obtained via different methods. Further, we use the constraint conditions to guarantee the existence of the solutions. The W-shaped surfaces, dark soliton, bright soliton, singular soliton, period singular soliton, periodic waves, and complex solutions of the studied equations are successfully constructed. Moreover, some obtained solutions are drawn to a better understanding of the characteristics of nematicons in liquid crystals.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, University of Zakho, Zakho, Iraq

    Hajar Farhan Ismael

  2. Department of Mathematics, Faculty of Science, Firat University, Elazig, Turkey

    Hajar Farhan Ismael & Hasan Bulut

  3. Department of Mathematics and Science Education, Harran University, Şanliurfa, Turkey

    Haci Mehmet Baskonus

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  1. Hajar Farhan Ismael
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Correspondence to Hajar Farhan Ismael.

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Ismael, H.F., Bulut, H. & Baskonus, H.M. W-shaped surfaces to the nematic liquid crystals with three nonlinearity laws. Soft Comput 25, 4513–4524 (2021). https://doi.org/10.1007/s00500-020-05459-6

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