Stable Optical Solitons for the Higher-Order Non-Kerr NLSE via the Modified Simple Equation Method

Noha M. Rasheed, Mohammed O. Al-Amr, Emad A. Az-Zo’bi, Mohammad A. Tashtoush and Lanre Akinyemi
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Noha M. Rasheed: Department of Basic Sciences, Al-Huson University College, Balqa Applied University, Al-Huson 21510, Jordan
Mohammed O. Al-Amr: Department of Mathematics, College of Computer Science and Mathematics, University of Mosul, Mosul 41002, Iraq
Emad A. Az-Zo’bi: Department of Mathematics and Statistics, Faculty of Science, Mutah University, AlKarak 61710, Jordan
Mohammad A. Tashtoush: Department of Basic Sciences, Al-Huson University College, Balqa Applied University, Al-Huson 21510, Jordan
Lanre Akinyemi: Department of Mathematics, Lafayette College, Easton, PA 18042, USA

Mathematics, 2021, vol. 9, issue 16, 1-12

Abstract: This paper studies the propagation of the short pulse optics model governed by the higher-order nonlinear Schrödinger equation (NLSE) with non-Kerr nonlinearity. Exact one-soliton solutions are derived for a generalized case of the NLSE with the aid of software symbolic computations. The modified Kudryashov simple equation method (MSEM) is employed for this purpose under some parametric constraints. The computational work shows the difference, effectiveness, reliability, and power of the considered scheme. This method can treat several complex higher-order NLSEs that arise in mathematical physics. Graphical illustrations of some obtained solitons are presented.

Keywords: modified simple equation method; optical soliton; higher-order NLSE; non-Kerr nonlinearity (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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