Different lump k-soliton solutions to (2+1)-dimensional KdV system using Hirota binary Bell polynomials

IF 1.8 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
Xingxing Wu, Jalil Manafian, Gurpreet Singh, Baharak Eslami, Abdullah Aldurayhim, Noor Alhuda Mohammad Ali khalil, Ahmed Alawadi
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引用次数: 0

Abstract

In this article, the (2+1)-dimensional KdV equation by Hirota’s bilinear scheme is studied. Besides, the binary bell polynomials and then the bilinear form is created. In addition, an interaction lump with k k -soliton solutions of the addressed system with known coefficients is presented. With the assistance of the stated methodology, a cloaked form of an analytical solution is discovered in expressions of lump-soliton rational functions with a few lovable parameters. Solutions to this study’s problems are identified specifically as belonging to the lump-one, two, three, and four soliton solutions. By defining the specific advantages of the epitomized parameters by the depiction of figures and by interpreting the physical occurrences are established acceptable soliton arrangements and dealt with the physical importance of the obtained arrangements. Finally, under certain conditions, the physical behavior of solutions is analyzed by using the mentioned method. Moreover, the graphs with high resolutions including three-dimensional plots, density plots, and two-dimensional plots to determine a deep understanding of plotted solutions that will arise in the applied mathematics and nonlinear physics are employed.
使用 Hirota 二元贝尔多项式的 (2+1)-dimensional KdV 系统的不同块状 k-soliton 解
本文通过 Hirota 的双线性方案研究了 (2+1)-dimensional KdV 方程。此外,还创建了二元钟形多项式和双线性形式。此外,还提出了一个具有已知系数的 k k -soliton 解的相互作用块。在上述方法的帮助下,我们发现了一个分析解的隐蔽形式,即带有几个可爱参数的有理函数的表达式。本研究问题的解决方案被具体确定为属于块状一、二、三和四孤子解决方案。通过对数字的描述和对物理现象的解释,确定了可接受的孤子排列,并处理了所获排列的物理重要性。最后,在特定条件下,使用上述方法分析了解决方案的物理行为。此外,还采用了高分辨率的图形,包括三维图、密度图和二维图,以便深入理解应用数学和非线性物理学中出现的图解。
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
Open Physics
Open Physics PHYSICS, MULTIDISCIPLINARY-
CiteScore
3.20
自引率
5.30%
发文量
82
审稿时长
18 weeks
期刊介绍: Open Physics is a peer-reviewed, open access, electronic journal devoted to the publication of fundamental research results in all fields of physics. The journal provides the readers with free, instant, and permanent access to all content worldwide; and the authors with extensive promotion of published articles, long-time preservation, language-correction services, no space constraints and immediate publication. Our standard policy requires each paper to be reviewed by at least two Referees and the peer-review process is single-blind.
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