Samina Samina, Munawar Maham, Ansari Ali R, Jhangeer Adil, Wali Samad
General Education Centre, Quanzhou University of Information Engineering, Quanzhou, Fujian, 362000, China.
Department of Mathematics, University of Engineering and Technology, Lahore, Pakistan.
Sci Rep. 2025 May 4;15(1):15562. doi: 10.1038/s41598-025-00100-8.
The research focuses on optical solitons and employs the generalized auxiliary equation technique to obtain soliton resolutions for the nonlinear Kairat-X equation. This equation considers wave number groups influenced by time and velocity dispersion in non-linear mediums. Because of their stability and numerous uses in signal processing, telecommunications, and quantum physics, optical solitons are appreciated. Novel periodic, exponential, and other soliton solutions are shown in the work, and the dynamics of the model are thoroughly examined using phase portraits, quasi-periodic patterns, Lyapunov exponents, 3D attractors, 2D power spectra, and sensitivity analysis. Various simulations show how noise intensity variations affect system sensitivity and instability through the assessment of stochastic sensitivity along with Poincaré, and Lyapunov analysis. These results provide a significant addition to the discipline.
该研究聚焦于光学孤子，并采用广义辅助方程技术来获得非线性凯拉特 - X方程的孤子解。此方程考虑了非线性介质中受时间和速度色散影响的波数群。由于其稳定性以及在信号处理、电信和量子物理中的众多应用，光学孤子备受青睐。该研究展示了新颖的周期、指数及其他孤子解，并使用相图、准周期模式、李雅普诺夫指数、三维吸引子、二维功率谱和敏感性分析对模型的动力学进行了深入研究。各种模拟通过对随机敏感性以及庞加莱和李雅普诺夫分析的评估，展示了噪声强度变化如何影响系统敏感性和不稳定性。这些结果为该学科增添了重要内容。
