用改进的adomian分解方案研究具有偏振模色散的三次四次光孤子

IF 1.6 Q2 MULTIDISCIPLINARY SCIENCES

MethodsX Pub Date : 2025-01-29 DOI:10.1016/j.mex.2025.103191

Afrah M. Almalki , A.A. AlQarni , H.O. Bakodah , A.A. Alshaery , Ahmed H. Arnous , Anjan Biswas

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引用次数: 0

摘要

本文根据克尔定律研究了双折射光纤中三次四次光孤子的数值计算。利用改进的Adomian分解方法（IADM）改进了复值非线性演化方程的求解。它确定了数值结果与Zahran和Bekir早期解析孤子表达式之间的强相关性。分析强调了令人印象深刻的低计算误差，证实了IADM在提供准确解决方案方面的有效性。该方法将线性和非线性微分方程分解为更简单的子问题，无需线性化或摄动技术即可提取近似解析解。IADM的适应性表明了它在各个领域的应用潜力，特别是在光通信系统的优化和设计方面。•本研究利用Adomian分解法（ADM）及其增强版（IADM）求解Gerdjikov-Ivanov方程。•数值模拟验证了这些方法的准确性和稳定性，IADM具有较好的收敛性。•该研究强调了这些方法在改进光通信系统和其他非线性应用中的重要性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Cubic-quartic optical solitons with polarization-mode dispersion by the improved adomian decomposition scheme

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Cubic-quartic optical solitons with polarization-mode dispersion by the improved adomian decomposition scheme

This research investigates the numerical computation of cubic-quartic optical solitons in birefringent fibers in accordance with Kerr's law. Utilizing the Improved Adomian Decomposition Method (IADM), the study improves the solution of complex-valued nonlinear evolution equations. It identifies a strong correlation between numerical results and earlier analytical soliton expressions from Zahran and Bekir. The analysis highlights impressively low computational errors, confirming IADM's effectiveness in delivering accurate solutions. This method decomposes both linear and nonlinear differential equations into simpler sub-problems, enabling the extraction of approximate analytical solutions without the need for linearization or perturbation techniques. IADM's adaptability suggests its potential for application in various domains, particularly in the optimization and design of optical communication systems.

•
The research utilizes both the Adomian Decomposition Method (ADM) and its enhanced version (IADM) to solve the Gerdjikov-Ivanov equation.
•
Numerical simulations validate the accuracy and stability of these methods, with IADM showing superior convergence.
•
The study underscores the importance of these methods in improving optical communication systems and other nonlinear applications.

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