分数耦合科诺佩琴科-杜布罗夫斯基模型的动力学分析和新的行波解法

IF 3.6 2区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Fractal and Fractional Pub Date : 2024-06-06 DOI:10.3390/fractalfract8060341

Jin Wang, Zhao Li

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引用次数: 0

摘要

本文的主要目的是利用多项式的完全判别系统方法研究分数耦合 Konopelchenko-Dubrovsky 模型的行波解。首先，利用行波变换将分数耦合 Konopelchenko-Dubrovsky 模型简化为非线性常微分方程。其次，通过多项式完全判别式系统方法推导出分数耦合 Konopelchenko-Dubrovsky 模型的三角函数解、有理函数解、孤波解和椭圆函数解。此外，还绘制了二维相位图。最后，在 Maple 2022 软件中绘制了分数耦合 Konopelchenko-Dubrovsky 模型的三维图和二维图。

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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A Dynamical Analysis and New Traveling Wave Solution of the Fractional Coupled Konopelchenko–Dubrovsky Model

The main object of this paper is to study the traveling wave solutions of the fractional coupled Konopelchenko–Dubrovsky model by using the complete discriminant system method of polynomials. Firstly, the fractional coupled Konopelchenko–Dubrovsky model is simplified into nonlinear ordinary differential equations by using the traveling wave transformation. Secondly, the trigonometric function solutions, rational function solutions, solitary wave solutions and the elliptic function solutions of the fractional coupled Konopelchenko–Dubrovsky model are derived by means of the polynomial complete discriminant system method. Moreover, a two-dimensional phase portrait is drawn. Finally, a 3D-diagram and a 2D-diagram of the fractional coupled Konopelchenko–Dubrovsky model are plotted in Maple 2022 software.

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来源期刊

Fractal and Fractional MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

4.60

自引率

18.50%

发文量

632

审稿时长

11 weeks

期刊介绍： Fractal and Fractional is an international, scientific, peer-reviewed, open access journal that focuses on the study of fractals and fractional calculus, as well as their applications across various fields of science and engineering. It is published monthly online by MDPI and offers a cutting-edge platform for research papers, reviews, and short notes in this specialized area. The journal, identified by ISSN 2504-3110, encourages scientists to submit their experimental and theoretical findings in great detail, with no limits on the length of manuscripts to ensure reproducibility. A key objective is to facilitate the publication of detailed research, including experimental procedures and calculations. "Fractal and Fractional" also stands out for its unique offerings: it warmly welcomes manuscripts related to research proposals and innovative ideas, and allows for the deposition of electronic files containing detailed calculations and experimental protocols as supplementary material.