波在(1+1)维时空域中的传播和演化:一项综合研究

IF 1.8 4区 物理与天体物理 Q3 PHYSICS, APPLIED
M. Khater
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引用次数: 0

摘要

在这项研究中,我们利用最近的两个分析方案来揭示[公式:见正文]维Mikhailov–Novikov–Wang可积方程的新孤立波解。上述方程是一个捕捉特定物理现象的数学模型,尽管缺乏直接的物理解释。然而,它在物理学中的非线性波领域的各种系统中都找到了相关性。通过应用上述分析格式,我们导出了新的解,并用变分迭代法评估了它们的精度。在所研究模型的分析解和数值解之间观察到的一致性可以作为所构建解的验证。此外,我们深入探讨了获得精确和突破性孤立波解对与所研究模型相关的实际应用的影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Wave propagation and evolution in a (1+1)-dimensional spatial-temporal domain: A comprehensive study
In this investigation, we utilize two recent analytical schemes to unveil novel solitary wave solutions for the [Formula: see text]-dimensional Mikhailov–Novikov–Wang integrable equation. The said equation serves as a mathematical model that captures specific physical phenomena, albeit lacking a direct physical interpretation. Nevertheless, it finds relevance in various systems within the realm of nonlinear waves in physics. Through the application of the aforementioned analytical schemes, we derive fresh solutions and evaluate their accuracy by employing the variational iteration method. The congruence observed between the analytical and numerical solutions of the investigated model serves as validation for the constructed solutions. Furthermore, we delve into exploring the implications of obtaining precise and ground breaking solitary wave solutions on the practical applications associated with the studied model.
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来源期刊
Modern Physics Letters B
Modern Physics Letters B 物理-物理:凝聚态物理
CiteScore
3.70
自引率
10.50%
发文量
235
审稿时长
5.9 months
期刊介绍: MPLB opens a channel for the fast circulation of important and useful research findings in Condensed Matter Physics, Statistical Physics, as well as Atomic, Molecular and Optical Physics. A strong emphasis is placed on topics of current interest, such as cold atoms and molecules, new topological materials and phases, and novel low-dimensional materials. The journal also contains a Brief Reviews section with the purpose of publishing short reports on the latest experimental findings and urgent new theoretical developments.
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