Description of soliton and lump solutions to M-truncated stochastic Biswas–Arshed model in optical communication

• Published in: Results in physics Vol. 51; p. 106719
• Main Authors: Ahmad, Jamshad, Akram, Sonia, Rehman, Shafqat Ur, Turki, Nasser Bin, Shah, Nehad Ali
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.08.2023; Elsevier
• Subjects: birefringent fibers; Biswas–Arshed equation; Stochastic solitons; The Hirota bilinear method; The modified F-expansion method; Truncated M-fractional derivative; White noise; birefringent fibers; Stochastic solitons; Truncated M-fractional derivative; The modified F-expansion method; Biswas–Arshed equation; White noise; The Hirota bilinear method
• DOI: 10.1016/j.rinp.2023.106719
• ISSN: 2211-3797

This article negotiates the investigation of optical stochastic solitons and other exact stochastic solutions with the fractional stochastic Biswas–Arshed equation (FSBAE) describing the multiplicative white noise of optical signal propagation in birefringent fibers using the modified F-expansion method and Hirota Bilinear method. In order to manage this model, we used Itô calculus. After utilizing the aforementioned techniques and computational software, different stochastic solitary wave solutions are retrieved, including dark, bright, periodic, singular, hyperbolic, rational, combo, and trigonometric function solutions. Additionally, we also investigate several wave solutions, such as the cross-kink rational wave solution, the homoclinic breather wave solution, and M-shaped rational solution. To examine the different kinds of solitons and their dynamical behaviors, the solutions have been simulated by graphs. The discovered solutions are essential for illuminating the wave dynamics in diverse models. The obtained stochastic solitary wave solutions may be crucial in nonlinear science and engineering fields. It is impressive to see that the chosen methodologies are simple, appropriate, and effective scientific tools for determining stochastic solitary wave solutions for nonlinear engineering models (NLEMs). This is the first investigation into the lump solutions of the FSBA equation with multiplicative white noise, and the findings show how optical solitons propagate in nonlinear optics. •A physical model fractional stochastic Biswas–Arshed equation is considered.•Multiplicative white noise of optical signal propagation in birefringent fibers is studied.•Different stochastic solitary wave solutions are retrieved via two mathematical methods.•The graphical representations of some obtained solutions are given that are interest to researchers.