Analytical study of soliton solutions for an improved perturbed Schrödinger equation with Kerr law non-linearity in non-linear optics by an expansion algorithm
This paper aims to study an improved perturbed Schrödinger equation (IPSE) with a kind of Kerr law non-linearity equation governing the propagation dynamics of soliton in optical fibers through the nano-optical fiber. The considered model predicts the influence of quantic non-linearity on the motion...
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2021-12-01
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doaj-f3a476e0ef7846628a13fcad31e536c92021-08-26T04:36:14ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812021-12-014100102Analytical study of soliton solutions for an improved perturbed Schrödinger equation with Kerr law non-linearity in non-linear optics by an expansion algorithmAdil Jhangeer0Waqas Ali Faridi1Muhammad Imran Asjad2Ali Akgül3Department of Mathematics, Namal Institute, Talagang Road, Mianwali 42250, PakistanDepartment of Mathematics, University of Management and Technology, Lahore, PakistanDepartment of Mathematics, University of Management and Technology, Lahore, PakistanDepartment of Mathematics, Art and Science Faculty, Siirt University, TR-56100 Siirt, Turkey; Corresponding author.This paper aims to study an improved perturbed Schrödinger equation (IPSE) with a kind of Kerr law non-linearity equation governing the propagation dynamics of soliton in optical fibers through the nano-optical fiber. The considered model predicts the influence of quantic non-linearity on the motion of ultrashort optical pulses. The integrability of the model is accompanied by the transformed rational function V-expansion method (for simplicity V=(G′G2)). This proposed method is a significant mathematical tool to obtain the exact travelings wave solutions of non-linear complex partial differential equations (PDEs). A bunch of soliton solutions like dark, dark singular, plane wave solution, and periodic are retrieved along with suitable parametric values. The graphical analysis is also presented for the description of propagation of waves expressed by rational functions, hyperbolic functions, and trigonometric functions.http://www.sciencedirect.com/science/article/pii/S2666818121000541SolitonsIPSEV-expansion method |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Adil Jhangeer Waqas Ali Faridi Muhammad Imran Asjad Ali Akgül |
spellingShingle |
Adil Jhangeer Waqas Ali Faridi Muhammad Imran Asjad Ali Akgül Analytical study of soliton solutions for an improved perturbed Schrödinger equation with Kerr law non-linearity in non-linear optics by an expansion algorithm Partial Differential Equations in Applied Mathematics Solitons IPSE V-expansion method |
author_facet |
Adil Jhangeer Waqas Ali Faridi Muhammad Imran Asjad Ali Akgül |
author_sort |
Adil Jhangeer |
title |
Analytical study of soliton solutions for an improved perturbed Schrödinger equation with Kerr law non-linearity in non-linear optics by an expansion algorithm |
title_short |
Analytical study of soliton solutions for an improved perturbed Schrödinger equation with Kerr law non-linearity in non-linear optics by an expansion algorithm |
title_full |
Analytical study of soliton solutions for an improved perturbed Schrödinger equation with Kerr law non-linearity in non-linear optics by an expansion algorithm |
title_fullStr |
Analytical study of soliton solutions for an improved perturbed Schrödinger equation with Kerr law non-linearity in non-linear optics by an expansion algorithm |
title_full_unstemmed |
Analytical study of soliton solutions for an improved perturbed Schrödinger equation with Kerr law non-linearity in non-linear optics by an expansion algorithm |
title_sort |
analytical study of soliton solutions for an improved perturbed schrödinger equation with kerr law non-linearity in non-linear optics by an expansion algorithm |
publisher |
Elsevier |
series |
Partial Differential Equations in Applied Mathematics |
issn |
2666-8181 |
publishDate |
2021-12-01 |
description |
This paper aims to study an improved perturbed Schrödinger equation (IPSE) with a kind of Kerr law non-linearity equation governing the propagation dynamics of soliton in optical fibers through the nano-optical fiber. The considered model predicts the influence of quantic non-linearity on the motion of ultrashort optical pulses. The integrability of the model is accompanied by the transformed rational function V-expansion method (for simplicity V=(G′G2)). This proposed method is a significant mathematical tool to obtain the exact travelings wave solutions of non-linear complex partial differential equations (PDEs). A bunch of soliton solutions like dark, dark singular, plane wave solution, and periodic are retrieved along with suitable parametric values. The graphical analysis is also presented for the description of propagation of waves expressed by rational functions, hyperbolic functions, and trigonometric functions. |
topic |
Solitons IPSE V-expansion method |
url |
http://www.sciencedirect.com/science/article/pii/S2666818121000541 |
work_keys_str_mv |
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