Analysis of periodic wave soliton structure for the wave propagation in nonlinear low–pass electrical transmission lines through analytical technique

In the present research, the nonlinear electrical equation named low–pass electrical transmission lines (LPETLs) equation under examination through extended simple equation approach. The nonlinear LPETLs model having important implications in sciences and engineering such as communication and electr...

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Main Authors: Mujahid Iqbal, Jianqiao Liu, Aly R. Seadawy, Huda Daefallh Alrashdi, Reem Algethamie, Abeer Aljohani, Ce Fu
Format: Article
Language:English
Published: Elsevier 2025-09-01
Series:Ain Shams Engineering Journal
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Online Access:http://www.sciencedirect.com/science/article/pii/S2090447925002473
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author Mujahid Iqbal
Jianqiao Liu
Aly R. Seadawy
Huda Daefallh Alrashdi
Reem Algethamie
Abeer Aljohani
Ce Fu
author_facet Mujahid Iqbal
Jianqiao Liu
Aly R. Seadawy
Huda Daefallh Alrashdi
Reem Algethamie
Abeer Aljohani
Ce Fu
author_sort Mujahid Iqbal
collection DOAJ
description In the present research, the nonlinear electrical equation named low–pass electrical transmission lines (LPETLs) equation under examination through extended simple equation approach. The nonlinear LPETLs model having important implications in sciences and engineering such as communication and electronic engineering included system of signal distribution in cable television, connection system of radio receiver and transmitter and its antennas, computer networking connected system, routing call truck lines of telephone switching centers, high speed data buses in computers and many others. In the presenting research, we examined novel solitons with interesting structure such as periodic wave solitons, kink wave solitons, bright solitons, anti–kink wave solitons, dark solitons, mixed bright and dark solitons, periodic traveling and solitary waves. The physical structure of some explored results demonstrated by contour, two–dimensional and three–dimensional through numerical simulation with computational Mathematica software. These novel explored results prove that proposed approach in this research is more straightforward, effective, not difficult to use and efficient to the investigation of different nonlinear differential equations.
format Article
id doaj-art-a1b0ae2d44b74a63b5d1606a10caf4f5
institution Matheson Library
issn 2090-4479
language English
publishDate 2025-09-01
publisher Elsevier
record_format Article
series Ain Shams Engineering Journal
spelling doaj-art-a1b0ae2d44b74a63b5d1606a10caf4f52025-07-23T05:23:52ZengElsevierAin Shams Engineering Journal2090-44792025-09-01169103506Analysis of periodic wave soliton structure for the wave propagation in nonlinear low–pass electrical transmission lines through analytical techniqueMujahid Iqbal0Jianqiao Liu1Aly R. Seadawy2Huda Daefallh Alrashdi3Reem Algethamie4Abeer Aljohani5Ce Fu6College of Information Science and Technology, Dalian Maritime University, Dalian 116026, Liaoning, PR ChinaCollege of Information Science and Technology, Dalian Maritime University, Dalian 116026, Liaoning, PR China; Corresponding authors.Mathematics Department, Faculty of Science, Taibah University, Al–Madinah Al–Munawarah, Saudi ArabiaDepartment of Mathematics, College of Science, King Saud University, P.O. Box 22452, Riyadh 11495, Saudi ArabiaDepartment of Mathematics, College of Science, Al–Baha University, Alaqiq 65799, Saudi ArabiaDepartment of Computer Science and Informatics, Applied College, Taibah University, Medina, 42353, Saudi ArabiaCollege of Information Science and Technology, Dalian Maritime University, Dalian 116026, Liaoning, PR China; Corresponding authors.In the present research, the nonlinear electrical equation named low–pass electrical transmission lines (LPETLs) equation under examination through extended simple equation approach. The nonlinear LPETLs model having important implications in sciences and engineering such as communication and electronic engineering included system of signal distribution in cable television, connection system of radio receiver and transmitter and its antennas, computer networking connected system, routing call truck lines of telephone switching centers, high speed data buses in computers and many others. In the presenting research, we examined novel solitons with interesting structure such as periodic wave solitons, kink wave solitons, bright solitons, anti–kink wave solitons, dark solitons, mixed bright and dark solitons, periodic traveling and solitary waves. The physical structure of some explored results demonstrated by contour, two–dimensional and three–dimensional through numerical simulation with computational Mathematica software. These novel explored results prove that proposed approach in this research is more straightforward, effective, not difficult to use and efficient to the investigation of different nonlinear differential equations.http://www.sciencedirect.com/science/article/pii/S2090447925002473Nonlinear low–pass electrical transmission lines modelExtended simple equation techniqueSolitary wave structureSolitonsExact solutions
spellingShingle Mujahid Iqbal
Jianqiao Liu
Aly R. Seadawy
Huda Daefallh Alrashdi
Reem Algethamie
Abeer Aljohani
Ce Fu
Analysis of periodic wave soliton structure for the wave propagation in nonlinear low–pass electrical transmission lines through analytical technique
Ain Shams Engineering Journal
Nonlinear low–pass electrical transmission lines model
Extended simple equation technique
Solitary wave structure
Solitons
Exact solutions
title Analysis of periodic wave soliton structure for the wave propagation in nonlinear low–pass electrical transmission lines through analytical technique
title_full Analysis of periodic wave soliton structure for the wave propagation in nonlinear low–pass electrical transmission lines through analytical technique
title_fullStr Analysis of periodic wave soliton structure for the wave propagation in nonlinear low–pass electrical transmission lines through analytical technique
title_full_unstemmed Analysis of periodic wave soliton structure for the wave propagation in nonlinear low–pass electrical transmission lines through analytical technique
title_short Analysis of periodic wave soliton structure for the wave propagation in nonlinear low–pass electrical transmission lines through analytical technique
title_sort analysis of periodic wave soliton structure for the wave propagation in nonlinear low pass electrical transmission lines through analytical technique
topic Nonlinear low–pass electrical transmission lines model
Extended simple equation technique
Solitary wave structure
Solitons
Exact solutions
url http://www.sciencedirect.com/science/article/pii/S2090447925002473
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