Dynamical structures of wave front to the fractional generalized equal width-Burgers model via two analytic schemes: Effects of parameters and fractionality

IF 2.4 Q2 ENGINEERING, MECHANICAL Nonlinear Engineering - Modeling and Application Pub Date : 2023-01-01 DOI:10.1515/nleng-2022-0328
Mst. Razia Pervin, Harun-Or- Roshid, Alrazi Abdeljabbar, Pinakee Dey, Shewli Shamim Shanta
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引用次数: 2

Abstract

Abstract This work focuses on the fractional general equal width-Burger model, which describes one-dimensional wave transmission in nonlinear Kerr media with combined dispersive and dissipative effects. The unified and a novel form of the modified Kudryashov approaches are employed in this study to investigate various analytical wave solutions of the model, considering different powers of nonlinearity in the Kerr media. As a result, a wide range of structural solutions, including trigonometric, hyperbolic, rational, and logarithmic functions, are formulated. The achieved solutions present a kink wave, a collision of kink and periodic peaked soliton, exponentially increasing wave profiles, and shock with a dark peaked wave. The obtained solutions are numerically demonstrated for specific parameter values and general parametric powers of nonlinearity. We analyzed the effect of existing parameters on the obtained wave solutions with numerical graphics. Moreover, the stability of the model is analyzed with a perturbed system. Furthermore, a comparison with published results in the literature is provided, highlighting the differences and similarities. The achieved results showcase the diversity of structural solutions obtained through the proposed approaches.
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分数阶广义等宽- burgers模型的波前动力结构的两种解析格式:参数和分数阶的影响
本文研究了分数阶一般等宽- burger模型,该模型描述了非线性Kerr介质中具有色散和耗散复合效应的一维波传输。本研究采用统一的和一种新颖形式的修正Kudryashov方法来研究模型的各种解析波解,考虑Kerr介质中非线性的不同幂次。因此,广泛的结构解决方案,包括三角,双曲,有理,和对数函数,被公式化。所得到的解表现为扭结波、扭结波与周期峰孤子的碰撞、呈指数增长的波廓以及暗峰波激波。对非线性的特定参数值和一般参数幂进行了数值验证。用数值图形分析了现有参数对得到的波浪解的影响。此外,还对模型的稳定性进行了摄动分析。此外,与已发表的文献结果进行了比较,突出了差异和相似之处。所取得的结果展示了通过所提出的方法获得的结构解决方案的多样性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
6.20
自引率
3.60%
发文量
49
审稿时长
44 weeks
期刊介绍: The Journal of Nonlinear Engineering aims to be a platform for sharing original research results in theoretical, experimental, practical, and applied nonlinear phenomena within engineering. It serves as a forum to exchange ideas and applications of nonlinear problems across various engineering disciplines. Articles are considered for publication if they explore nonlinearities in engineering systems, offering realistic mathematical modeling, utilizing nonlinearity for new designs, stabilizing systems, understanding system behavior through nonlinearity, optimizing systems based on nonlinear interactions, and developing algorithms to harness and leverage nonlinear elements.
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