在铁磁材料中使用创新方法探索非线性Kraenkel-Manna-Merle系统的单离子溶液
Bahadır Kopçasız1, Fatma Nur Kaya Sağlam2, Homan Emadifar3,4
1Department of Computer Engineering, Faculty of Engineering and Architecture, Istanbul Gelisim University, Istanbul, Türkiye.
Scientific reports
|July 30, 2025
概括
这项研究探讨了非线性合的Kraenkel-Manna-Merle系统,利用库马尔-马利克和新的扩展超标函数方法获得了新的精确单离子解决方案. 这些发现为科学和工程中的非线性动力学提供了新的见解.
科学领域:
- 数学物理学的数学物理.
- 非线性动力学是一种非线性动力学.
- 材料科学 材料科学 材料科学
背景情况:
- 非线性合的Kraenkel-Manna-Merle系统模型现象,如铁磁粒子在铁材料中的传播.
- 了解非线性动态机制在各种科学和工程学科中至关重要.
研究的目的:
- 为了研究非线性合的克兰克尔-马纳-默尔系统.
- 为了获得系统的新型精确单子解决方案.
- 通过可视化分析这些解决方案的动态.
主要方法:
- 波形转换的应用,将非线性偏微分方程 (NLPDE) 转换为普通微分方程 (ODE).
- 使用库马尔-马利克方法和新扩展的超标函数方法 (nEHFM).
- 使用图形模拟 (2D,3D,轮图) 进行可视化.
主要成果:
- 导出了许多新的精确单子解,包括雅科比圆,过度波,三角,指数,明亮,暗,周期和奇数类型.
- 在这个复杂的非线性系统中成功应用了Kumar-Malik和nEHFM方法.
- 通过详细的图表,全面可视化单子动态.
结论:
- 库马尔-马利克和nEHFM是分析非线性模型的有效,可靠和用户友好的方法.
- 获得的解决方案是新的,并大大提高了对Kraenkel-Manna-Merle系统的理解.
- 该研究为研究数学科学和工程中的非线性现象提供了有价值的工具.
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