Abstract
This analysis utilizes the generalized Riccati simple equation method to construct nematicons in liquid crystals from its governing system. A new type of nonlinearity is studied for the first time in the context of liquid crystals. It is the nonlinear quadruple power law. The fractional version of the governed model, with conformable sense, is considered. With the aid of Mathematica, Bright, dark, and singular types of solutions are derived with the constraints guaranteeing their existence. Moreover, some obtained results are depicted to show the real physical characteristics of nematicons. The used method provides a powerful tool for extracting exact solitary wave solutions. By simple calculations, we show that the generalized Riccati simple equation method can be treated as a general case of the well-known simple equation, \(\exp \left( -\varphi (\eta )\right)\)-expansion, and \(\left( {G}^{\prime }/G\right)\)-expansion methods.
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ZA, EA and AOA conceived of the presented idea. They also developed the theory and performed the computations. MŞ and LA verified the analytical methods and plotted the figures. All authors provided critical feedback and helped shape the research and analysis of the manuscript. All authors reviewed and accepted the final version of the manuscript.
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Altawallbeh, Z., Az-Zo’bi, E., Alleddawi, A.O. et al. Novel liquid crystals model and its nematicons. Opt Quant Electron 54, 861 (2022). https://doi.org/10.1007/s11082-022-04279-2
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DOI: https://doi.org/10.1007/s11082-022-04279-2