分数阶peyard - bishop Dna模型的新动态多波解

IF 1.9 4区工程技术 Q3 ENGINEERING, MECHANICAL

Journal of Computational and Nonlinear Dynamics Pub Date : 2023-08-24 DOI:10.1115/1.4063223

Ananya Tripathy, S. Sahoo

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引用次数: 0

摘要

本文研究了peyard - bishop DNA模型(PB-DNAM) β -分数阶导数形式的新孤波解。这些解决方案负责分析DNA链相邻位移之间的非线性相互作用。为了得到这些解，我们应用了广义Riccati方程展开法。在不同的参数条件和分数值下，得到的解呈现出不同的波形，包括w形、亮、暗-亮组合、周期波解、钟形、m形、w形和两个亮解以及m形和两个暗解。这些物理特性通过图形表示进行了彻底的分析。算例表明了该方法的成功应用，对其他非线性问题的解析解求解具有指导意义。

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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New Dynamic Multi-Wave Solutions Of The Fractional Peyrard-Bishop Dna Model

In this paper, we have studied the new solitary wave solutions of the beta-fractional derivative form of the Peyrard-Bishop DNA model (PB-DNAM). These solutions are responsible for analysing the nonlinear interaction between the adjacent displacements of the DNA strand. To get these solutions, we have applied the generalized Riccati equation expansion method. Under different parametric conditions and fractional values, the obtained solutions show different wave patterns including w-shape, bright, combined dark-bright, periodic wave solutions, bell shape, m-shape, w-shape along with two bright solutions and m-shape along with two dark solutions. These physical characteristics are analyzed thoroughly by graphical representations. The solutions show the successful application of the proposed method which will be helpful in finding analytical solutions to other nonlinear problems.

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来源期刊

Journal of Computational and Nonlinear Dynamics 工程技术-工程：机械

CiteScore

4.00

自引率

10.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The purpose of the Journal of Computational and Nonlinear Dynamics is to provide a medium for rapid dissemination of original research results in theoretical as well as applied computational and nonlinear dynamics. The journal serves as a forum for the exchange of new ideas and applications in computational, rigid and flexible multi-body system dynamics and all aspects (analytical, numerical, and experimental) of dynamics associated with nonlinear systems. The broad scope of the journal encompasses all computational and nonlinear problems occurring in aeronautical, biological, electrical, mechanical, physical, and structural systems.