Solitonic, quasi-periodic, super nonlinear and chaotic behaviors of a dispersive extended nonlinear Schrödinger equation in an optical fiber

Various dynamic behaviors of the dispersive extended nonlinear Schrödinger equation (NLSE) are studied in this paper. For this, a new Φ6−model expansion method is used to examine the solitary waves of the considered model. The main objective of this approach is to provide a medium by involving vario...

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Autores principales:	Faiqa Ali, Adil Jhangeer, Muhammad Muddassar, Hassan Almusawa
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	- model expansion method Jacobian elliptic solutions Phase portrait analysis Nonlinear envelopes Optical solitons Physics QC1-999
Acceso en línea:	https://doaj.org/article/6245ed68c4f242c29323f31827751002
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spelling	oai:doaj.org-article:6245ed68c4f242c29323f318277510022021-11-04T04:29:59ZSolitonic, quasi-periodic, super nonlinear and chaotic behaviors of a dispersive extended nonlinear Schrödinger equation in an optical fiber2211-379710.1016/j.rinp.2021.104921https://doaj.org/article/6245ed68c4f242c29323f318277510022021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2211379721009499https://doaj.org/toc/2211-3797Various dynamic behaviors of the dispersive extended nonlinear Schrödinger equation (NLSE) are studied in this paper. For this, a new Φ6−model expansion method is used to examine the solitary waves of the considered model. The main objective of this approach is to provide a medium by involving various parameters for Jacobian elliptic solutions. It is also noted that certain bright–dark optical solitons are given by the NLSE, as well as bell-shaped bright optical solitons. By applying Galilean transformation to evaluate the nonlinear and super nonlinear periodic behaviors in nonlinear optics, the system is transformed into a planar dynamical system. By using phase portrait analysis, we first investigate the presence of a set of novel optical solitons of the NLSE. The dynamic motions for the nonlinear, super nonlinear, periodic, quasi-periodic and chaotic motions are studied using various parametric conditions in the presence of external periodic force. Bifurcation analysis and sensitivity analysis for NLSE propagation is represented using phase plane analysis via phase plots of the dynamic structure. Further, via time series plots, we present analytical forms of the solitary waves.Faiqa AliAdil JhangeerMuhammad MuddassarHassan AlmusawaElsevierarticle- model expansion methodJacobian elliptic solutionsPhase portrait analysisNonlinear envelopesOptical solitonsPhysicsQC1-999ENResults in Physics, Vol 31, Iss , Pp 104921- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	- model expansion method Jacobian elliptic solutions Phase portrait analysis Nonlinear envelopes Optical solitons Physics QC1-999
spellingShingle	- model expansion method Jacobian elliptic solutions Phase portrait analysis Nonlinear envelopes Optical solitons Physics QC1-999 Faiqa Ali Adil Jhangeer Muhammad Muddassar Hassan Almusawa Solitonic, quasi-periodic, super nonlinear and chaotic behaviors of a dispersive extended nonlinear Schrödinger equation in an optical fiber
description	Various dynamic behaviors of the dispersive extended nonlinear Schrödinger equation (NLSE) are studied in this paper. For this, a new Φ6−model expansion method is used to examine the solitary waves of the considered model. The main objective of this approach is to provide a medium by involving various parameters for Jacobian elliptic solutions. It is also noted that certain bright–dark optical solitons are given by the NLSE, as well as bell-shaped bright optical solitons. By applying Galilean transformation to evaluate the nonlinear and super nonlinear periodic behaviors in nonlinear optics, the system is transformed into a planar dynamical system. By using phase portrait analysis, we first investigate the presence of a set of novel optical solitons of the NLSE. The dynamic motions for the nonlinear, super nonlinear, periodic, quasi-periodic and chaotic motions are studied using various parametric conditions in the presence of external periodic force. Bifurcation analysis and sensitivity analysis for NLSE propagation is represented using phase plane analysis via phase plots of the dynamic structure. Further, via time series plots, we present analytical forms of the solitary waves.
format	article
author	Faiqa Ali Adil Jhangeer Muhammad Muddassar Hassan Almusawa
author_facet	Faiqa Ali Adil Jhangeer Muhammad Muddassar Hassan Almusawa
author_sort	Faiqa Ali
title	Solitonic, quasi-periodic, super nonlinear and chaotic behaviors of a dispersive extended nonlinear Schrödinger equation in an optical fiber
title_short	Solitonic, quasi-periodic, super nonlinear and chaotic behaviors of a dispersive extended nonlinear Schrödinger equation in an optical fiber
title_full	Solitonic, quasi-periodic, super nonlinear and chaotic behaviors of a dispersive extended nonlinear Schrödinger equation in an optical fiber
title_fullStr	Solitonic, quasi-periodic, super nonlinear and chaotic behaviors of a dispersive extended nonlinear Schrödinger equation in an optical fiber
title_full_unstemmed	Solitonic, quasi-periodic, super nonlinear and chaotic behaviors of a dispersive extended nonlinear Schrödinger equation in an optical fiber
title_sort	solitonic, quasi-periodic, super nonlinear and chaotic behaviors of a dispersive extended nonlinear schrödinger equation in an optical fiber
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/6245ed68c4f242c29323f31827751002
work_keys_str_mv	AT faiqaali solitonicquasiperiodicsupernonlinearandchaoticbehaviorsofadispersiveextendednonlinearschrodingerequationinanopticalfiber AT adiljhangeer solitonicquasiperiodicsupernonlinearandchaoticbehaviorsofadispersiveextendednonlinearschrodingerequationinanopticalfiber AT muhammadmuddassar solitonicquasiperiodicsupernonlinearandchaoticbehaviorsofadispersiveextendednonlinearschrodingerequationinanopticalfiber AT hassanalmusawa solitonicquasiperiodicsupernonlinearandchaoticbehaviorsofadispersiveextendednonlinearschrodingerequationinanopticalfiber
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Solitonic, quasi-periodic, super nonlinear and chaotic behaviors of a dispersive extended nonlinear Schrödinger equation in an optical fiber

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