A dimensionally reduction approach to study kink soliton and its fission and fusion process of (3+1)-dimensional KdV-CDG equation

IF 1.6 4区工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC

International Journal of Numerical Modelling-Electronic Networks Devices and Fields Pub Date : 2024-07-26 DOI:10.1002/jnm.3271

Mati ur Rahman, Mei Sun, Mehdi Salimi, Ali Ahmadian

引用次数: 0

Abstract

The Hirota bilinear (HB) is a powerful and widely used technique to find various types of solitons of integrable systems. In this manuscript, we implement HB technique to find bilinear form of a dimensionally reduced (3+1)-dimensional KdV–Calogero–Bogoyavlenskii–Schiff (KdV-CBS) equation at z = x, z = y, and z = t. We present various results for distinct auxiliary function to study kink solitons and its fission and fusion dynamics. The MATLAB-2020 is used to display all the results via 3D and line 2D graphs for appropriate values of parameters. These findings provide a strong new insight into the nonlinear features of the model and lay the foundation for future studies in soliton dynamics and nonlinear events in related systems.

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研究 (3+1)-dimensional KdV-CDG 方程的扭结孤子及其裂变和聚变过程的降维方法

广田双线性（Hirota bilinear，HB）是一种功能强大、应用广泛的技术，可用于寻找可积分系统的各类孤子。在本手稿中，我们利用 HB 技术找到了一个降维 (3+1)-dimensional KdV-Calogero-Bogoyavlenskii-Schiff (KdV-CBS) 方程在 z = x、z = y 和 z = t 处的双线性形式。我们使用 MATLAB-2020 通过三维和线性二维图形来显示适当参数值下的所有结果。这些发现为研究该模型的非线性特征提供了有力的新见解，并为今后研究孤子动力学和相关系统中的非线性事件奠定了基础。

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

International Journal of Numerical Modelling-Electronic Networks Devices and Fields 工程技术-工程：电子与电气

CiteScore

4.60

自引率

6.20%

发文量

101

审稿时长

>12 weeks

期刊介绍： Prediction through modelling forms the basis of engineering design. The computational power at the fingertips of the professional engineer is increasing enormously and techniques for computer simulation are changing rapidly. Engineers need models which relate to their design area and which are adaptable to new design concepts. They also need efficient and friendly ways of presenting, viewing and transmitting the data associated with their models. The International Journal of Numerical Modelling: Electronic Networks, Devices and Fields provides a communication vehicle for numerical modelling methods and data preparation methods associated with electrical and electronic circuits and fields. It concentrates on numerical modelling rather than abstract numerical mathematics. Contributions on numerical modelling will cover the entire subject of electrical and electronic engineering. They will range from electrical distribution networks to integrated circuits on VLSI design, and from static electric and magnetic fields through microwaves to optical design. They will also include the use of electrical networks as a modelling medium.

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