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Optical and Quantum Electronics

Erschienen in:

01.12.2022

Novel liquid crystals model and its nematicons

verfasst von: Zuhier Altawallbeh, Emad Az-Zo’bi, Ahmed O. Alleddawi, Mehmet Şenol, Lanre Akinyemi

Erschienen in: Optical and Quantum Electronics | Ausgabe 12/2022

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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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Titel: Novel liquid crystals model and its nematicons
verfasst von: Zuhier Altawallbeh
Emad Az-Zo’bi
Ahmed O. Alleddawi
Mehmet Şenol
Lanre Akinyemi
Publikationsdatum: 01.12.2022
Verlag: Springer US
Erschienen in: Optical and Quantum Electronics / Ausgabe 12/2022
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-022-04279-2

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