HIGHLY DISPERSIVE OPTICAL SOLITONS WITH QUADRATIC-CUBIC NONLINEAR REFRACTIVE INDEX BY LIE SYMMETRY

Gangwei Wang; Mengyue He; Qin Zhou; Yakup Yıldırım; Anjan Biswas; Hashim Alshehri

doi:10.11948/20220417

2024 Volume 14 Issue 2

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Gangwei Wang, Mengyue He, Qin Zhou, Yakup Yıldırım, Anjan Biswas, Hashim Alshehri. HIGHLY DISPERSIVE OPTICAL SOLITONS WITH QUADRATIC-CUBIC NONLINEAR REFRACTIVE INDEX BY LIE SYMMETRY[J]. Journal of Applied Analysis & Computation, 2024, 14(2): 682-702. doi: 10.11948/20220417

Citation:

Gangwei Wang, Mengyue He, Qin Zhou, Yakup Yıldırım, Anjan Biswas, Hashim Alshehri. HIGHLY DISPERSIVE OPTICAL SOLITONS WITH QUADRATIC-CUBIC NONLINEAR REFRACTIVE INDEX BY LIE SYMMETRY[J]. Journal of Applied Analysis & Computation, 2024, 14(2): 682-702. doi: 10.11948/20220417

HIGHLY DISPERSIVE OPTICAL SOLITONS WITH QUADRATIC-CUBIC NONLINEAR REFRACTIVE INDEX BY LIE SYMMETRY

1.
School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, China
2.
School of Mathematical and Physical Sciences, Wuhan Textile University, Wuhan 430200, China
3.
Department of Computer Engineering, Biruni University, 34010 Istanbul, Turkey
4.
Department of Mathematics, Near East University, 99138 Nicosia, Cyprus
5.
Department of Mathematics and Physics, Grambling State University, Grambling, LA 71245–2715, USA
6.
Mathematical Modeling and Applied Computation (MMAC) Research Group, Center of Modern Mathematical Sciences and their Applications (CMMSA), Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia
7.
Department of Applied Sciences, Cross-Border Faculty of Humanities, Economics and Engineering, Dunarea de Jos University of Galati, 111 Domneasca Street, Galati 800201, Romania
8.
Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa 0204, South Africa

Author Bio: Email: 2579676196@qq.com(M. He); Email: qinzhou@whu.edu.cn(Q. Zhou); Email: yakupyildirim110@gmail.com(Y. Yıldırım); Email: biswas.anjan@gmail.com(A. Biswas); Email: hmalshehri@kau.edu.sa(H. Alshehri)
Corresponding author: Email: gangwei@hueb.edu.cn(G. Wang)
Fund Project: The authors were supported by Natural Science Foundation of Hebei Province of China (No. A2023207002), '333 Talent Project' of Hebei Province (No. C20221021), Youth Key Program of Hebei University of Economics and Business (2018QZ07), Key Program of Hebei University of Economics and Business (2020ZD11, 2023ZD10), Youth Team Support Program of Hebei University of Economics and Business

Abstract

Abstract

This paper addresses highly dispersive optical solitons with quadratic–cubic nonlinear form of self–phase modulation. Lie symmetry analysis reduced the governing model to an ordinary differential equation which was further analyzed using two approaches. The series expansion approach and the $ F $–expansion scheme yielded soliton solutions as well as an abundance of additional solutions to the model. The parameter restrictions were also enumerated to provide a formidable structure to the solutions.
- Solitons /
- Lie symmetry /
- highly dispersive
MSC: 22E70, 35Q51, 35C08

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