Semiconductor Physics, Quantum Electronics & Optoelectronics, 28 (3), P. 335–345 (2025).
DOI: https://doi.org/10.15407/spqeo28.03.335

Implicit quiescent optical soliton perturbation with nonlinear chromatic dispersion and generalized temporal evolution having a plethora of self-phase modulation structures by Lie symmetry

A.R. Adem¹, A. Biswas^2,3,4,5*, Y. Yildirim<sup>6,7,8

1</sup>Department of Mathematical Sciences, University of South Africa, UNISA–0003, South Africa
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 Physics and Electronics, Khazar University, Baku, AZ–1096, Azerbaijan
⁶Department of Computer Engineering, Biruni University, Istanbul–34010, Turkey
⁷Department of Mathematics, Near East University, 99138 Nicosia, Cyprus
⁸Faculty of Arts and Sciences, University of Kyrenia, 99320 Kyrenia, Cyprus
*Corresponding author e-mail: biswas.anjan@gmail.com

Abstract. This paper recovers implicit quiescent perturbed optical solitons that emerge from the nonlinear Schrodinger equation with Hamiltonian perturbation terms having arbitrary intensity. The model is considered in the context of generalized temporal evolution and nonlinear chromatic dispersion. Eighteen forms of self-phase modulation structures are taken into account. The integration is carried out by the implementation of Lie symmetry. The parameter constraints that guarantee the existence of these solitons are also presented.

Keywords: nonlinear dispersion, stationary solitons.