Tripole-mode and quadrupole-mode solitons in (1 + 1)-dimensional nonlinear media with a spatial exponential-decay nonlocality

Abstract The approximate analytical expressions of tripole-mode and quadrupole-mode solitons in (1 + 1)-dimensional nematic liquid crystals are obtained by applying the variational approach. It is found that the soliton powers for the two types of solitons are not equal with the same parameters, whi...

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Main Authors:	Zhiping Dai, Zhenjun Yang, Xiaohui Ling, Shumin Zhang, Zhaoguang Pang, Xingliang Li, Youwen Wang
Format:	article
Language:	EN
Published:	Nature Portfolio 2017
Subjects:	Medicine R Science Q
Online Access:	https://doaj.org/article/54d187fad99c4067904126e4fb98124d
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spelling	oai:doaj.org-article:54d187fad99c4067904126e4fb98124d2021-12-02T11:52:58ZTripole-mode and quadrupole-mode solitons in (1 + 1)-dimensional nonlinear media with a spatial exponential-decay nonlocality10.1038/s41598-017-00197-62045-2322https://doaj.org/article/54d187fad99c4067904126e4fb98124d2017-03-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-00197-6https://doaj.org/toc/2045-2322Abstract The approximate analytical expressions of tripole-mode and quadrupole-mode solitons in (1 + 1)-dimensional nematic liquid crystals are obtained by applying the variational approach. It is found that the soliton powers for the two types of solitons are not equal with the same parameters, which is much different from their counterparts in the Snyder-Mitchell model (an ideal and typical strongly nolocal nonlinear model). The numerical simulations show that for the strongly nonlocal case, by expanding the response function to the second order, the approximate soliton solutions are in good agreement with the numerical results. Furthermore, by expanding the respond function to the higher orders, the accuracy and the validity range of the approximate soliton solutions increase. If the response function is expanded to the tenth order, the approximate solutions are still valid for the general nonlocal case.Zhiping DaiZhenjun YangXiaohui LingShumin ZhangZhaoguang PangXingliang LiYouwen WangNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-13 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Zhiping Dai Zhenjun Yang Xiaohui Ling Shumin Zhang Zhaoguang Pang Xingliang Li Youwen Wang Tripole-mode and quadrupole-mode solitons in (1 + 1)-dimensional nonlinear media with a spatial exponential-decay nonlocality
description	Abstract The approximate analytical expressions of tripole-mode and quadrupole-mode solitons in (1 + 1)-dimensional nematic liquid crystals are obtained by applying the variational approach. It is found that the soliton powers for the two types of solitons are not equal with the same parameters, which is much different from their counterparts in the Snyder-Mitchell model (an ideal and typical strongly nolocal nonlinear model). The numerical simulations show that for the strongly nonlocal case, by expanding the response function to the second order, the approximate soliton solutions are in good agreement with the numerical results. Furthermore, by expanding the respond function to the higher orders, the accuracy and the validity range of the approximate soliton solutions increase. If the response function is expanded to the tenth order, the approximate solutions are still valid for the general nonlocal case.
format	article
author	Zhiping Dai Zhenjun Yang Xiaohui Ling Shumin Zhang Zhaoguang Pang Xingliang Li Youwen Wang
author_facet	Zhiping Dai Zhenjun Yang Xiaohui Ling Shumin Zhang Zhaoguang Pang Xingliang Li Youwen Wang
author_sort	Zhiping Dai
title	Tripole-mode and quadrupole-mode solitons in (1 + 1)-dimensional nonlinear media with a spatial exponential-decay nonlocality
title_short	Tripole-mode and quadrupole-mode solitons in (1 + 1)-dimensional nonlinear media with a spatial exponential-decay nonlocality
title_full	Tripole-mode and quadrupole-mode solitons in (1 + 1)-dimensional nonlinear media with a spatial exponential-decay nonlocality
title_fullStr	Tripole-mode and quadrupole-mode solitons in (1 + 1)-dimensional nonlinear media with a spatial exponential-decay nonlocality
title_full_unstemmed	Tripole-mode and quadrupole-mode solitons in (1 + 1)-dimensional nonlinear media with a spatial exponential-decay nonlocality
title_sort	tripole-mode and quadrupole-mode solitons in (1 + 1)-dimensional nonlinear media with a spatial exponential-decay nonlocality
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/54d187fad99c4067904126e4fb98124d
work_keys_str_mv	AT zhipingdai tripolemodeandquadrupolemodesolitonsin11dimensionalnonlinearmediawithaspatialexponentialdecaynonlocality AT zhenjunyang tripolemodeandquadrupolemodesolitonsin11dimensionalnonlinearmediawithaspatialexponentialdecaynonlocality AT xiaohuiling tripolemodeandquadrupolemodesolitonsin11dimensionalnonlinearmediawithaspatialexponentialdecaynonlocality AT shuminzhang tripolemodeandquadrupolemodesolitonsin11dimensionalnonlinearmediawithaspatialexponentialdecaynonlocality AT zhaoguangpang tripolemodeandquadrupolemodesolitonsin11dimensionalnonlinearmediawithaspatialexponentialdecaynonlocality AT xingliangli tripolemodeandquadrupolemodesolitonsin11dimensionalnonlinearmediawithaspatialexponentialdecaynonlocality AT youwenwang tripolemodeandquadrupolemodesolitonsin11dimensionalnonlinearmediawithaspatialexponentialdecaynonlocality
_version_	1718394922817552384

Tripole-mode and quadrupole-mode solitons in (1 + 1)-dimensional nonlinear media with a spatial exponential-decay nonlocality

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