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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Bibliographic Details
Published in:Partial differential equations in applied mathematics : a spin-off of Applied Mathematics Letters 2021-12, Vol.4, p.100102, Article 100102
Main Authors: Jhangeer, Adil, Faridi, Waqas Ali, Asjad, Muhammad Imran, Akgül, Ali
Format: Article
Language:English
Subjects:
IPSE
Solitons
V-expansion method
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Summary: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.
ISSN:2666-8181
2666-8181
DOI:10.1016/j.padiff.2021.100102