在 (2+1) 维方程中探索光学单波解决方案,并进行深入的动态评估
Hira Ashaq1, Sheikh Zain Majid1, Muhammad Bilal Riaz2,3
1Department of Mathematics, University of Management and Technology, Lahore, Pakistan.
Heliyon
|July 18, 2024
概括
这项研究使用了一种新的扩展直接代数方法,为 (2+1) 维的查菲-Infante方程找到精确的移动波解决方案. 这项研究揭示了多样化的单子解决方案,为非线性波动力学提供了洞察力.
科学领域:
- 理论物理 理论物理
- 非线性动力学是一种非线性动力学.
- 数学物理学的数学物理.
背景情况:
- 查菲-Infante方程是一个重要的反应-扩散模型,在等离子体物理学,流体动力学和光纤领域有应用.
- 它模拟了诸如质量运输和粒子扩散等物理过程.
- 了解它的移动波解决方案对于各种科学和工程领域至关重要.
研究的目的:
- 为了探索 (2+1) 维的Chaffee-Infante方程.
- 使用一种创新的数学方法,获得精确的移动波解决方案.
- 分析非线性动态系统的行为和灵敏度.
主要方法:
- 使用了一种扩展的直接代数方法.
- 精确的移动波和单子解决方案得出.
- 沃尔夫拉姆数学 (Wolfram Mathematica) 用于参数操纵和视觉化单元解决方案.
主要成果:
- 获得了各种各样的单子溶液,包括明亮的钟,联合明亮的黑暗,多个明亮的黑暗,明亮的,平坦的,周期性和单一的类型.
- 图形表示说明了在参数变化下单一波的动态.
- 这项研究证明了非线性动态系统的灵敏度.
结论:
- 应用数学方法有效地确定了可靠和高效的旅行波单一解决方案.
- 衍生出的解决方案为非线性介质中的波浪行为提供了有价值的见解.
- 这些发现在光纤,流体动力学,等离子体物理学和其他相关领域有潜在的应用.
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