离散三重态双层流体流动的孤立波和激波:Zaremaoghaddam和Gear-Grimshaw模型(KdV方程)

IF 2.6 Q2 MULTIDISCIPLINARY SCIENCES
Lakhveer Kaur, Omer Mohammed Khodayer Al-Dulaimi, Farag Mahel Mohammed, Anwar Ja’afar Mohamad Jawad, Mohammad Abdelkawy, Oswaldo González-Gaxiola, Ahmed H. Arnous, Anjan Biswas
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引用次数: 0

摘要

Zaremaoghaddam模型研究内波、流体动力学和非线性波动方程。在浅水、内部孤子或分层流体中,程序可能涉及修改或应用非线性波动模型,如Korteweg-de Vries方程、Boussinesq或Gear-Grimshaw。Gear-Grimshaw系统使用相互关联的非线性演化方程模拟两层分层流体中的内波,例如具有两层密度层的海洋。将Korteweg-de Vries方程扩展为包括波动模式相互作用。结果在以Korteweg-de Vries方程为基本平台的双层流体流动模型中,本文恢复了孤立波和激波。这种检索是使用广义指数微分有理函数方法实现的。考虑了两种双层流动模型,即Zaremaoghaddam模型和Gear-Grimshaw模型。并列举了这些解存在的参数限制条件。结论本研究具有许多意义,并为未来的发展开辟了许多机会。由于双层流体流动从未涉及异常波特征,因此本文的结果将为研究它们奠定基础。此外,本文的两种模型都可以考虑粘度。由于粘度在任何流体或气流中都是不可避免的,因此会产生一个实际的观点。此外,这些模型都是新的。因此,必须通过确定守恒定律和研究孤子摄动理论来研究这些模型。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Solitary waves and shock waves for double-layered fluid flow with dispersion triplet: Zaremaoghaddam and Gear–Grimshaw models (KdV equation)

Background

The Zaremaoghaddam model studies internal waves, fluid dynamics, and nonlinear wave equations. In shallow water, internal solitons, or stratified fluids, the procedure may involve modifying or applying nonlinear wave models like Korteweg–de Vries equation, Boussinesq, or Gear–Grimshaw. The Gear–Grimshaw system simulates internal waves in a two-layer stratified fluid, such as an ocean with two density layers, using interconnected nonlinear evolution equations. The Korteweg–de Vries equation is extended to include wave mode interactions.

Results

The paper recovers solitary waves and shock waves for double-layered fluid flow that is modeled whose basic platform is the Korteweg–de Vries equation. This retrieval is made possible with the usage of the generalized exponential differential rational function approach. Two models for the double-layered flow are taken into consideration, namely the Zaremaoghaddam model and the Gear–Grimshaw model. The parameter restrictions for the existence of such solutions are also enumerated.

Conclusions

This paper has many implications and opens up many future opportunities. Since double-layered fluid flow never addresses rogue wave features, the paper’s results would be the foundation for studying them. Additionally, viscosity can be considered in the two models in this paper. A practical perspective would result since viscosity is inevitable in any fluid or airflow. Additionally, these models are new. Thus, such models must be investigated by identifying conservation laws and studying soliton perturbation theory.

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来源期刊
CiteScore
2.60
自引率
0.00%
发文量
0
期刊介绍: Beni-Suef University Journal of Basic and Applied Sciences (BJBAS) is a peer-reviewed, open-access journal. This journal welcomes submissions of original research, literature reviews, and editorials in its respected fields of fundamental science, applied science (with a particular focus on the fields of applied nanotechnology and biotechnology), medical sciences, pharmaceutical sciences, and engineering. The multidisciplinary aspects of the journal encourage global collaboration between researchers in multiple fields and provide cross-disciplinary dissemination of findings.
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