Eur. Phys. J. Plus (2021) 136: 357
https://doi.org/10.1140/epjp/s13360-021-01358-3

Regular Article

Survey of third- and fourth-order dispersions including ellipticity angle in birefringent fibers on W-shaped soliton solutions and modulation instability analysis

¹ Department of Physics, Faculty of Science, University of Maroua, P.O Box 814, Maroua, Cameroon
² Laboratory of Energy, Materials, Modeling and Methods(LE3M), National Higher Polytechnic School of Douala, University of Douala, P.O.Box 2701, Douala, Cameroon
³ Department of Basic Science, Faculty of Mines and Petroleum Industries, University of Maroua, P.O. Box 08, Kaélé, Cameroon
⁴ Department of Computer Engineering, Biruni University, Istanbul, Turkey
⁵ Science Faculty, Department of Mathematics, Firat University, 23119, Elazig, Turkey
⁶ Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan
⁷ Department of Physics, Faculty of Science, The University of Ngaoundere, P.O Box 454, Ngaoundere, Cameroon

^a ahouw220@yahoo.fr
^e minc@firat.edu.tr

Received: 30 January 2021
Accepted: 24 March 2021
Published online: 4 April 2021

Abstract

In this work, the modified Sardar sub-equation method is used to construct optical soliton solutions to the coupled nonlinear Schrödinger equation (CNLSE) having third-order and fourth-order dispersions describing short-pulse propagation in two-core fibers. Several solutions are determined including W-shaped bright, dark soliton solutions, singular soliton solutions, periodic function solutions and the combined complex soliton solutions. It should be noted that this integration scheme is very powerful mathematical tools for obtaining exact optical soliton solutions of nonlinear evolution equations. Under suitable values for the physical parameters, some representative wave structures are graphically displayed. In addition, the linear stability technic is used to analyze the modulation gain spectra in the birefringence associated with an ellipticity angle. In our knowledge, these obtained results are new in the context of nonlinear birefringent optical fibers.