Murad Muhammad Amin S, Mustafa Mohammed A, Younas Usman, Emadifar Homan, Khalifa Abeer S, Mohammed Wael W, Ahmed Karim K
Department of Mathematics, University of Duhok, Duhok, Iraq.
Department of Mathematics, Shanghai University, No. 99 Shangda Road, Shanghai, 200444, China.
Sci Rep. 2025 Jun 4;15(1):19599. doi: 10.1038/s41598-025-04981-7.
This study explores novel optical soliton solutions for the generalized derivative nonlinear conformable Schrödinger equation under the influence of multiplicative white noise. Using the new Kudryashov method, various solutions are derived, including solitary waves, bright, dark, singular, and W-shaped soliton solutions. The study investigates their dynamic behavior and physical characteristics, emphasizing the role of the conformable order derivative and temporal parameters through three-dimensional, two-dimensional, and contour plots. Incorporating multiplicative white noise into soliton analysis presents an innovative approach, advancing the understanding of nonlinear optical phenomena. Noise management techniques modeled in this study help simulate real-world scenarios where fibers face stochastic disturbances, aiding in the design of robust communication systems. Further, understanding noise's impact on soliton stability offers insights for minimizing errors in signal processing and enhancing the reliability of optical fiber communication networks.
本研究探讨了在乘性白噪声影响下广义导数非线性共形薛定谔方程的新型光学孤子解。使用新的库德里亚绍夫方法，推导了各种解，包括孤立波、亮孤子、暗孤子、奇异孤子和W形孤子解。该研究调查了它们的动态行为和物理特性，通过三维、二维和等高线图强调了共形阶导数和时间参数的作用。将乘性白噪声纳入孤子分析提出了一种创新方法，推进了对非线性光学现象的理解。本研究中建模的噪声管理技术有助于模拟光纤面临随机干扰的现实场景，有助于设计稳健的通信系统。此外，了解噪声对孤子稳定性的影响为最小化信号处理中的误差和提高光纤通信网络的可靠性提供了见解。
