具有保形分数导数的扰动陈-李-刘模型的动力学研究

Nilkanta Das, S. Saha Ray
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引用次数: 0

摘要

本研究通过实施广义投影里卡提方程技术,重点研究了具有保形分数导数的扰动陈-李-刘模型。所提出的方法利用符号计算提供了一种动态的、强大的数学工具,用于解决支配模型问题并取得了重要成果。利用这种有效的技术,有效地构建了对治模型的大量解析解,包括钟形孤子解、反扭孤子解、周期孤波解和其他解。利用所建议的技术从调控模型中获得的结果表明,所有结果都是新颖的,并在本研究中首次提出。孤子在非线性光学领域具有重要意义,因为它们在传播过程中能够保持固有的形状和速度。本研究通过三维图、密度图和等值线图,以不同的任意参数值选择,探索了所得结果的传播和动力学行为。从拟议模型中获得的孤子可为光纤传输技术领域带来显著优势。所获得的结果表明,所建议的方法非常有前景、简单且高效。此外,这种方法还可以有效地应用于应用科学和工程领域中的众多新兴非线性模型。
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Dynamical investigation of the perturbed Chen–Lee–Liu model with conformable fractional derivative
This study focuses on the investigation of the perturbed Chen–Lee–Liu model with conformable fractional derivative by the implementation of the generalized projective Riccati equations technique. The proposed method uses symbolic computations to provide a dynamic and powerful mathematical tool for addressing the governing model and yielding significant results. Numerous analytical solutions of the governing model, including bell-shaped soliton solutions, anti-kink soliton solutions, periodic solitary wave solutions and other solutions, have been constructed effectively utilizing this effective technique. The findings acquired from the governing model utilizing the suggested technique demonstrate that all results are novel and presented for the first time in this study. Solitons are of immense significance in the domain of nonlinear optics due to their inherent ability to preserve their shape and velocity during propagation. The study of the propagation and the dynamical behaviour of the derived results have been explored by representing them graphically through 3D, density, and contour plots with different selections of arbitrary parameter values. The solitons acquired from the proposed model can provide significant advantages in the field of fiber-optic transmission technology. The obtained results demonstrate that the suggested approach is extremely promising, straightforward, and efficient. Furthermore, this approach may be effectively used in numerous emerging nonlinear models found in the fields of applied sciences and engineering.
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