Novel solitons through optical fibres for perturbed cubic-quintic-septic nonlinear Schr\"{o}dinger-type equation

Document Type : Research Paper

Authors

1 Department of Mathematics and Statistics, Faculty of Science, Mutah University, AlKarak, Jordan

2 Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin (UniSZA), Kuala Terengganu, Malaysia

3 Preparatory Year, Saudi Electronic University, Abha, Kingdom of Saudi Arabia

4 Department of Mathematics, Lafayette College, Easton, Pennsylvania, USA

5 Faculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, Iran

10.22075/ijnaa.2022.5766

Abstract

The current analysis employs the Riccati and modified simple equation methods to retrieve new optical solitons for highly dispersive nonlinear Schr\"{o}dinger-type equation (NLSE). With cubic-quintic-septic law (also known as a polynomial) of refractive index and perturbation terms having cubic nonlinearity, 1-optical solitons in the form of hyperbolic, periodic, and rational are derived. the two schemes offer an influential mathematical tool for solving NLSEs in various areas of applied sciences.

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