Soliton solutions to the electric signals in telegraph lines on the basis of the tunnel diode

Soliton solutions (SSs) of the electric signals in telegraph lines on the basis of the tunnel diode (ESTLBTD) have been examined using the modified G′/G-expansion method (MG′/GEM). We create general SSs that define rational, hyperbolic and trigonometric solutions. The 3D, 2D and contour plots of the...

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Main Author: Md. Nur Alam
Format: Article
Language:English
Published: Elsevier 2023-06-01
Series:Partial Differential Equations in Applied Mathematics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2666818123000049
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author Md. Nur Alam
author_facet Md. Nur Alam
author_sort Md. Nur Alam
collection DOAJ
description Soliton solutions (SSs) of the electric signals in telegraph lines on the basis of the tunnel diode (ESTLBTD) have been examined using the modified G′/G-expansion method (MG′/GEM). We create general SSs that define rational, hyperbolic and trigonometric solutions. The 3D, 2D and contour plots of the gained SSs are represented to explain the ESTLBTD in the optical fibers. Equating our attained answers and that gotten in beforehand written examination papers offerings the novelty of our study. The gained SSs might show imperative part in nonlinear science and engineering (NLSE) areas. It is remarkable to notice that the MG′/GEM is easy, well-matched and influential scientific device to determine SSs for nonlinear engineering models (NLEMs). The study procedures could also be implemented to develop SSs for other NLEMs in mathematical physics, applied mathematics, and engineering.
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spelling doaj.art-59341edd0a574aa7848041835b8e961c2023-06-23T04:44:47ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812023-06-017100491Soliton solutions to the electric signals in telegraph lines on the basis of the tunnel diodeMd. Nur Alam0Department of Mathematics, Pabna University of Science & Technology, Pabna 6600, BangladeshSoliton solutions (SSs) of the electric signals in telegraph lines on the basis of the tunnel diode (ESTLBTD) have been examined using the modified G′/G-expansion method (MG′/GEM). We create general SSs that define rational, hyperbolic and trigonometric solutions. The 3D, 2D and contour plots of the gained SSs are represented to explain the ESTLBTD in the optical fibers. Equating our attained answers and that gotten in beforehand written examination papers offerings the novelty of our study. The gained SSs might show imperative part in nonlinear science and engineering (NLSE) areas. It is remarkable to notice that the MG′/GEM is easy, well-matched and influential scientific device to determine SSs for nonlinear engineering models (NLEMs). The study procedures could also be implemented to develop SSs for other NLEMs in mathematical physics, applied mathematics, and engineering.http://www.sciencedirect.com/science/article/pii/S2666818123000049Lonngren wave equation (LWE)ESTLBTDThe MG′/GEMSSsNLEMs
spellingShingle Md. Nur Alam
Soliton solutions to the electric signals in telegraph lines on the basis of the tunnel diode
Partial Differential Equations in Applied Mathematics
Lonngren wave equation (LWE)
ESTLBTD
The MG′/GEM
SSs
NLEMs
title Soliton solutions to the electric signals in telegraph lines on the basis of the tunnel diode
title_full Soliton solutions to the electric signals in telegraph lines on the basis of the tunnel diode
title_fullStr Soliton solutions to the electric signals in telegraph lines on the basis of the tunnel diode
title_full_unstemmed Soliton solutions to the electric signals in telegraph lines on the basis of the tunnel diode
title_short Soliton solutions to the electric signals in telegraph lines on the basis of the tunnel diode
title_sort soliton solutions to the electric signals in telegraph lines on the basis of the tunnel diode
topic Lonngren wave equation (LWE)
ESTLBTD
The MG′/GEM
SSs
NLEMs
url http://www.sciencedirect.com/science/article/pii/S2666818123000049
work_keys_str_mv AT mdnuralam solitonsolutionstotheelectricsignalsintelegraphlinesonthebasisofthetunneldiode