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Computational Traveling Wave Solutions of the Nonlinear Rangwala–Rao Model Arising in Electric Field

Authors :
Mostafa M. A. Khater
Source :
Mathematics, Vol 10, Iss 24, p 4658 (2022)
Publication Year :
2022
Publisher :
MDPI AG, 2022.

Abstract

The direct influence of the integrability requirement on mixed derivative nonlinear Schrödinger equations is investigated in this paper. A. Rangwala mathematically formalized these effects in 1990 and dubbed this form the Rangwala–Rao (RR) equation. Our research focuses on innovative soliton wave solutions and their interactions in order to provide a clear picture of the slowly evolving envelope of the electric field and pulse propagation in optical fibers in terms of the dispersion effect. For creating unique solitary wave solutions to the investigated model, three contemporary computational strategies (extended direct (ExD) method, improved F–expansion (ImFE) method, and modified Kudryashov (MKud) method) are employed. These solutions are numerically computed to demonstrate the dynamical behavior of optical fiber pulse propagation. The originality of the paper’s findings is proved by comparing our results to previously published results.

Details

Language :
English
ISSN :
22277390
Volume :
10
Issue :
24
Database :
Directory of Open Access Journals
Journal :
Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.48357ab605614430a033f7ec7882223b
Document Type :
article
Full Text :
https://doi.org/10.3390/math10244658