Exact Solutions of the Generalized ZK and Gardner Equations by Extended Generalized

IF 1 4区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL
S. K. Mohanty, A. N. Dev, S. Sahoo, H. Emadifar, G. Arora
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引用次数: 0

Abstract

In this investigation, the exact solutions of variable coefficients of generalized Zakharov-Kuznetsov (ZK) equation and the Gardner equation are studied with the help of an extended generalized G ′ / G expansion method. The main objective of this study is to establish the closed-form solutions and dynamics of analytical solutions to the generalized ZK equation and the Gardner equation. The generalized ZK equation and the Gardner equation govern the behavior of nonlinear wave phenomena in the presence of magnetic field in plasma dynamics, turbulence, bottom topography, and quantum field theory. We construct innovative solutions to the models under consideration using various computing tools and a recently developed extended generalized G ′ / G expansion technique. The extended generalized G ′ / G expansion technique is a well-defined and simple technique which is based on the initial assumed solutions of the polynomial of G ′ / G . The derived solutions for both the equations are the hyperbolic, trigonometric, and rational functions. The obtained solutions have shock/kink waves and multisoliton, which depict the dynamical representations of the acquired solutions through the three-dimensional surface plots and the contour plots.
推广广义ZK方程和Gardner方程的精确解
本文利用推广的广义G′/G展开方法研究了广义Zakharov-Kuz涅佐夫(ZK)方程和Gardner方程变系数的精确解。本研究的主要目的是建立广义ZK方程和Gardner方程解析解的闭合形式解和动力学。广义ZK方程和Gardner方程控制了等离子体动力学、湍流、底部形貌和量子场论中存在磁场时非线性波现象的行为。我们使用各种计算工具和最近开发的扩展广义G′/G展开技术,为所考虑的模型构造了创新的解决方案。扩展广义G′/G展开技术是一种定义明确、简单的技术,它是基于G′/G多项式的初始假定解的。这两个方程的导出解都是双曲函数、三角函数和有理函数。所获得的解具有冲击波/扭结波和多重孤子,它们通过三维表面图和等高线图来描述所获得解的动力学表示。
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
Advances in Mathematical Physics
Advances in Mathematical Physics 数学-应用数学
CiteScore
2.40
自引率
8.30%
发文量
151
审稿时长
>12 weeks
期刊介绍: Advances in Mathematical Physics publishes papers that seek to understand mathematical basis of physical phenomena, and solve problems in physics via mathematical approaches. The journal welcomes submissions from mathematical physicists, theoretical physicists, and mathematicians alike. As well as original research, Advances in Mathematical Physics also publishes focused review articles that examine the state of the art, identify emerging trends, and suggest future directions for developing fields.
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