在物理系统中产生的非线性罗斯纳乌方程的Breather,lump和其他波形状
Baboucarr Ceesay1,2, Muhammad Zafarullah Baber3, Nauman Ahmed4,5
1Mathematics and Statistics Department, The University of Lahore, Lahore, Pakistan. bceesay@utg.edu.gm.
Scientific reports
|January 24, 2025
概括
希罗塔双线变换在非线性罗塞纳乌方程中揭示了各种波动行为,这对于理解复杂的物理系统至关重要. 数学分析表明参数显著影响波动力学,为非线性波现象提供了新的见解.
科学领域:
- 非线性动力学是一种非线性动力学.
- 数学物理 数学物理
- 波浪现象是一种波浪现象.
背景情况:
- 非线性罗塞纳乌方程模型是密集离散系统的模型,在流体动力学,等离子体物理学和材料科学中是基本的.
- 在各种科学学科中,理解非线性和分散系统中的波浪行为至关重要.
研究的目的:
- 探索非线性罗塞纳乌方程的各种波动行为,使用希罗塔双线性转换.
- 分析自由参数对移动波的形式,结构和稳定性的影响.
- 为了产生和可视化超越传统单体研究的新浪解决方案.
主要方法:
- 希罗塔双线变换的应用.
- 使用Mathematica进行象征计算和可视化.
- 波浪模式的分析,包括M形波浪,周期性块,扭曲和呼吸器.
主要成果:
- 识别各种各样的波浪行为:M形波浪,混合波浪,多个波形,周期性块,周期性交叉扭曲,明亮和黑暗的呼吸器,以及扭曲/反扭曲.
- 证明自由参数显著影响移动波的特性和稳定性.
- 综合3D,轮和密度图表,说明波动力学和变化.
结论:
- 希罗塔双线性方法有效地产生了新的解决方案,并提供了更深入的洞察力,在罗斯纳乌方程中的非线性波相互作用.
- 这项研究促进了对非线性波的理解,并突出了数学技术在复杂物理系统中的实用性.
- 这些发现对环境科学,工程和物理学有潜在的影响,特别是在涉及波浪现象的领域.
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