Noise effect on soliton phenomena in fractional stochastic Kraenkel-Manna-Merle system arising in ferromagnetic materials

Humaira Yasmin; Azzh Saad Alshehry; Abdul Hamid Ganie; Ahmad Shafee; Rasool Shah

doi:10.1038/s41598-024-52211-3

Noise effect on soliton phenomena in fractional stochastic Kraenkel-Manna-Merle system arising in ferromagnetic materials

Sci Rep. 2024 Jan 20;14(1):1810. doi: 10.1038/s41598-024-52211-3.

Authors

Humaira Yasmin¹, Azzh Saad Alshehry², Abdul Hamid Ganie³, Ahmad Shafee⁴, Rasool Shah⁵

Affiliations

¹ Department of Basic Sciences, General Administration of Preparatory Year, King Faisal University, Al-Ahsa, 31982, Saudi Arabia. hhassain@kfu.edu.sa.
² Department of Mathematical Sciences, Faculty of Sciences, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh, 11671, Saudi Arabia.
³ Basic Science Department, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh, 11673, Saudi Arabia.
⁴ PAAET, College of Technological Studies, Laboratory Technology Department, Shuwaikh, 70654, Kuwait.
⁵ Department of Mathematics, Abdul Wali Khan University, Mardan, Pakistan.

Abstract

This work dives into the Conformable Stochastic Kraenkel-Manna-Merle System (CSKMMS), an important mathematical model for exploring phenomena in ferromagnetic materials. A wide spectrum of stochastic soliton solutions that include hyperbolic, trigonometric and rational functions, is generated using a modified version of Extended Direct Algebraic Method (EDAM) namely r+mEDAM. These stochastic soliton solutions have practical relevance for describing magnetic field behaviour in zero-conductivity ferromagnets. By using Maple to generate 2D and 3D graphical representations, the study analyses how stochastic terms and noise impact these soliton solutions. Finally, this study adds to our knowledge of magnetic field behaviour in ferromagnetic materials by shedding light on the effect of noise on soliton processes inside the CSKMMS.