Semiconductor Physics, Quantum Electronics & Optoelectronics, 28 (1), P. 047-052 (2024).
DOI: https://doi.org/10.15407/spqeo28.01.047
Implicit quiescent optical solitons for perturbed Fokas–Lenells equation with nonlinear chromatic dispersion and a couple
of self-phase modulation structures by Lie symmetry
1Department of Mathematical Sciences, University of South Africa, UNISA–0003, South Africa Abstract.
The paper retrieves implicit quiescent optical solitons to the perturbed Fokas–Lenells equation that is considered with nonlinear chromatic dispersion and a couple of self-phase modulation structures. They are quadratic-cubic and quadratic-cubic-quartic forms along with their respective generalized counterparts. The results from linear temporal evolution as well as generalized temporal evolution formats are presented. Lie symmetry analysis is the integration tool implemented in the work.
Keywords: solitons, Lie symmetry, Appell hypergeometric function, elliptic integral, quadrature.
A.R. Adem1, A. Biswas2,3,4 & Y. Yildirim5,6
2Department of Mathematics and Physics, Grambling State University, Grambling, LA 71245–2715, USA
3Department of Applied Sciences, Cross–Border Faculty of Humanities, Economics and Engineering,
Dunarea de Jos University of Galati, 111 Domneasca Street, Galati–800201, Romania
4Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University,
Medunsa–0204, South Africa
5Department of Computer Engineering, Biruni University, Istanbul–34010, Turkey
6Department of Mathematics, Near East University, 99138 Nicosia, Cyprus
Corresponding author e-mail: biswas.anjan@gmail.com
This work is licensed under a Creative Commons Attribution-NoDerivatives 4.0 International License.