Nematicons in liquid crystals with Kerr Law by sub-equation method

In this study, trigonometric and hyperbolic type traveling wave solutions are produced by using the sub-equation analytical method by taking into account the Kerr Law properties of the equation defining nematic liquid crystals. The resulting traveling wave solutions of the equation play an important...

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Autores principales:	Serbay Duran, Bayhan Karabulut
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2022
Materias:	Sub-equation method Singular soliton Dark soliton Nematic liquid crystals Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/1ece9b4ce7064926a40436745fd3005a
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spelling	oai:doaj.org-article:1ece9b4ce7064926a40436745fd3005a2021-11-18T04:45:46ZNematicons in liquid crystals with Kerr Law by sub-equation method1110-016810.1016/j.aej.2021.06.077https://doaj.org/article/1ece9b4ce7064926a40436745fd3005a2022-02-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S1110016821004385https://doaj.org/toc/1110-0168In this study, trigonometric and hyperbolic type traveling wave solutions are produced by using the sub-equation analytical method by taking into account the Kerr Law properties of the equation defining nematic liquid crystals. The resulting traveling wave solutions of the equation play an important role in the energy transport in soliton molecules in liquid crystals. In addition, the solitary wave behaviors obtained for different values of the constants in the produced traveling wave solutions are discussed. The hyperbolic type traveling wave solutions of the equation defining the nematic liquid crystals incorporating Kerr Law property is represented as dark and singular solitons. Ready-made package programs are used for algebraic operations and graphic drawings. It is emphasized that the analytical method is effective, useful and valid.Serbay DuranBayhan KarabulutElsevierarticleSub-equation methodSingular solitonDark solitonNematic liquid crystalsEngineering (General). Civil engineering (General)TA1-2040ENAlexandria Engineering Journal, Vol 61, Iss 2, Pp 1695-1700 (2022)
institution	DOAJ
collection	DOAJ
language	EN
topic	Sub-equation method Singular soliton Dark soliton Nematic liquid crystals Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	Sub-equation method Singular soliton Dark soliton Nematic liquid crystals Engineering (General). Civil engineering (General) TA1-2040 Serbay Duran Bayhan Karabulut Nematicons in liquid crystals with Kerr Law by sub-equation method
description	In this study, trigonometric and hyperbolic type traveling wave solutions are produced by using the sub-equation analytical method by taking into account the Kerr Law properties of the equation defining nematic liquid crystals. The resulting traveling wave solutions of the equation play an important role in the energy transport in soliton molecules in liquid crystals. In addition, the solitary wave behaviors obtained for different values of the constants in the produced traveling wave solutions are discussed. The hyperbolic type traveling wave solutions of the equation defining the nematic liquid crystals incorporating Kerr Law property is represented as dark and singular solitons. Ready-made package programs are used for algebraic operations and graphic drawings. It is emphasized that the analytical method is effective, useful and valid.
format	article
author	Serbay Duran Bayhan Karabulut
author_facet	Serbay Duran Bayhan Karabulut
author_sort	Serbay Duran
title	Nematicons in liquid crystals with Kerr Law by sub-equation method
title_short	Nematicons in liquid crystals with Kerr Law by sub-equation method
title_full	Nematicons in liquid crystals with Kerr Law by sub-equation method
title_fullStr	Nematicons in liquid crystals with Kerr Law by sub-equation method
title_full_unstemmed	Nematicons in liquid crystals with Kerr Law by sub-equation method
title_sort	nematicons in liquid crystals with kerr law by sub-equation method
publisher	Elsevier
publishDate	2022
url	https://doaj.org/article/1ece9b4ce7064926a40436745fd3005a
work_keys_str_mv	AT serbayduran nematiconsinliquidcrystalswithkerrlawbysubequationmethod AT bayhankarabulut nematiconsinliquidcrystalswithkerrlawbysubequationmethod
_version_	1718425024853966848

Nematicons in liquid crystals with Kerr Law by sub-equation method

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