共形扩展科特韦格-德-弗里斯模型的混沌行为和行波解

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-08-19 DOI:10.1515/phys-2024-0069

Chunyan Liu

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引用次数: 0

摘要

本文研究了共形扩展 Korteweg-de-Vries （KdV）模型的相位肖像、混沌模式和行波解。首先，通过行波变换将保角分数阶扩展 KdV 模型转化为常微分方程。其次，提出了二维（2D）平面动力系统，并利用平面动力系统方法研究了其混沌行为。此外，还绘制了一些三维（3D）、二维相位图和 Lyapunov 指数图。最后，利用完全判别式系统方法构建了许多有意义的解，其中包括有理函数、三角函数、双曲函数和雅可比椭圆函数解。为了便于读者更直观地了解分数阶变化的影响，本书使用 Maple 软件绘制了一些所得解的二维图形、三维图形、密度图、等值线图和对比图。

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The chaotic behavior and traveling wave solutions of the conformable extended Korteweg–de-Vries model

In this article, the phase portraits, chaotic patterns, and traveling wave solutions of the conformable extended Korteweg–de-Vries (KdV) model are investigated. First, the conformal fractional order extended KdV model is transformed into ordinary differential equation through traveling wave transformation. Second, two-dimensional (2D) planar dynamical system is presented and its chaotic behavior is studied by using the planar dynamical system method. Moreover, some three-dimensional (3D), 2D phase portraits and the Lyapunov exponent diagram are drawn. Finally, many meaningful solutions are constructed by using the complete discriminant system method, which include rational, trigonometric, hyperbolic, and Jacobi elliptic function solutions. In order to facilitate readers to see the impact of fractional order changes more intuitively, Maple software is used to draw 2D graphics, 3D graphics, density plots, contour plots, and comparison charts of some obtained solutions.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.