Semiconductor Physics, Quantum Electronics & Optoelectronics, 28 (1), P. 053-058 (2024).
DOI: https://doi.org/10.15407/spqeo28.01.053

Dispersive optical soliton perturbation with multiplicative white noise having parabolic law of self-phase modulation

Y. Yıldırım1,2 & A. Biswas3,4,5

1Department of Computer Engineering, Biruni University, Istanbul–34010, Turkey
2Mathematics Research Center, Near East University, 99138 Nicosia, Cyprus
3Department of Mathematics and Physics, Grambling State University, Grambling, LA 71245–2715, USA
4Department of Applied Sciences, Cross–Border Faculty of Humanities, Economics and Engineering,
Dunarea de Jos University of Galati, 111 Domneasca Street, Galati–800201, Romania
5Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University,
Medunsa–0204, South Africa
*Corresponding author e-mail: biswas.anjan@gmail.com




Abstract. In this paper, we investigate dispersive optical solitons incorporating multiplicative white noise. Utilizing the F-expansion procedure, we derive various soliton solutions, including dark soliton solutions, singular soliton solutions, bright soliton solutions, straddled singular-singular soliton solutions, complexiton solutions, and straddled dark-bright soliton solutions. Moreover, we discuss the parametric restrictions necessary for the existence of these soliton solutions, providing a comprehensive analysis of the conditions under which these solutions are valid. Our findings contribute to the understanding of the dynamics of perturbed nonlinear wave equations in the presence of stochastic influences.

Keywords: solitons, white noise, F-expansion.

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