Novel soliton structures of truncated M-fractional (4+1)-dim Fokas wave model

IF 2.4 Q2 ENGINEERING, MECHANICAL Nonlinear Engineering - Modeling and Application Pub Date : 2023-01-01 DOI:10.1515/nleng-2022-0292
T. Rasool, R. Hussain, H. Rezazadeh, Asghar Ali, Ulviye Demirbilek
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引用次数: 1

Abstract

Abstract In this research article, a nonlinear time–space fractional order (4+1)-dim Fokas wave equation that is crucial for examining the corporal marvels of waves on and inside the surface of water is examined. For this purpose, a well-known analytical method is utilized, namely, the Sardar sub-equation (SSE) method along with a truncated M-fractional derivative. As a result, many new families of solitary wave solutions, such as kink-type solitons, singular and periodic solitons, dark and bright solitons, are established. By using the SSE method, the outcomes are portrayed in 3-dim, 2-dim, and contour plots for distinct parametric values. The attained hyperbolic and trigonometric function-type results demonstrate the capability of recognizing the exact solutions of the other nonlinear evolution equations through the executed technique.
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截断m -分数(4+1)-暗Fokas波模型的新孤子结构
本文研究了一个非线性时-空分数阶(4+1)-dim Fokas波动方程,该方程对于研究水面上和水面内波浪的物理特性至关重要。为此,使用了一种众所周知的分析方法,即Sardar子方程(SSE)方法以及截断的m分数阶导数。因此,建立了许多新的孤立波解族,如扭结型孤子、奇异孤子和周期孤子、暗孤子和亮孤子。通过使用SSE方法,结果在3-dim, 2-dim和轮廓图中描绘不同的参数值。所获得的双曲函数和三角函数型结果表明,通过执行的技术可以识别其他非线性发展方程的精确解。
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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