磁-电弹性圆棒非线性纵波方程暗孤子的建模

IF 0.9 Q4 ACOUSTICS Sound and Vibration Pub Date : 2021-01-01 DOI:10.32604/sv.2021.014157

H. Durur, A. Yokuş, D. Kaya, Hijaz Ahmad

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引用次数: 4

摘要

本文采用子方程法和1=G ' ð Þ展开法构造了磁电弹性圆杆非线性纵波方程的精确解。所提出的方法已用于构造磁电弹性圆棒中LWE的双曲解、有理解、暗孤子解和三角解。得到的解中的参数可以赋任意值。三维、二维和等高线图形在计算机包程序的帮助下呈现。通过符号计算得到的解表明，这些方法是求解物理和非线性动力学中非线性演化方程的有效、可靠和简便的数学工具。

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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Modeling of Dark Solitons for Nonlinear Longitudinal Wave Equation in a Magneto-Electro-Elastic Circular Rod

In this paper, sub equation and 1=G’ ð Þ expansion methods are proposed to construct exact solutions of a nonlinear longitudinal wave equation (LWE) in a magneto-electro-elastic circular rod. The proposed methods have been used to construct hyperbolic, rational, dark soliton and trigonometric solutions of the LWE in the magnetoelectro-elastic circular rod. Arbitrary values are given to the parameters in the solutions obtained. 3D, 2D and contour graphs are presented with the help of a computer package program. Solutions attained by symbolic calculations revealed that these methods are effective, reliable and simple mathematical tool for finding solutions of nonlinear evolution equations arising in physics and nonlinear dynamics.

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来源期刊

Sound and Vibration 物理-工程：机械

CiteScore

1.50

自引率

33.30%

发文量

审稿时长

>12 weeks

期刊介绍： Sound & Vibration is a journal intended for individuals with broad-based interests in noise and vibration, dynamic measurements, structural analysis, computer-aided engineering, machinery reliability, and dynamic testing. The journal strives to publish referred papers reflecting the interests of research and practical engineering on any aspects of sound and vibration. Of particular interest are papers that report analytical, numerical and experimental methods of more relevance to practical applications. Papers are sought that contribute to the following general topics: -broad-based interests in noise and vibration- dynamic measurements- structural analysis- computer-aided engineering- machinery reliability- dynamic testing