Semiconductor Physics, Quantum Electronics & Optoelectronics, 28 (2), P. 201–207 (2025).
DOI: https://doi.org/10.15407/spqeo28.02.201
Highly dispersive optical solitons with differential group delay for the Kerr law of self-phase modulation
R.M.A. Shohib1, M.E.M. Alngar2, Y. Yildirim3,4,5, A. Biswas6,7,8,9*
1Basic Science Department, Higher Institute of Management Sciences & Foreign Trade, Cairo–379, Egypt
2Department of Mathematics Education, Faculty of Education & Arts, Sohar University, Sohar, Oman
3Department of Computer Engineering, Biruni University, Istanbul–34010, Turkey
4Mathematics Research Center, Near East University, 99138 Nicosia, Cyprus
5Faculty of Arts and Sciences, University of Kyrenia, 99320 Kyrenia, Northern Cyprus
6Department of Mathematics and Physics, Grambling State University, Grambling, LA 71245–2715, USA
7Department of Physics and Electronics, Khazar University, Baku, AZ–1096, Azerbaijan
8Department of Applied Sciences, Cross–Border Faculty of Humanities, Economics and Engineering, Dunarea de Jos University of Galati, 111 Domneasca Street, Galati–800201, Romania
9Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa–0204, South Africa
*Corresponding author e-mail: biswas.anjan@gmail.com
Abstract. The paper addresses highly dispersive optical solitons with differential group delay, characterized by the Kerr law of self-phase modulation. The extended auxiliary equation approach recovers the full spectrum of solitons. Additionally, solutions in terms of Weierstrass’s elliptic functions are reported. The results are all presented with the necessary parameter constraints that naturally emerge from the scheme.
Keywords: soliton, dispersion, birefringence.
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