通过有效的分析技术,通过 (2 + 1) 维的 Jaulent-Miodek 演化方程的单元解决方案
Muhammad Zubair Raza1, Muhammad Abdaal Bin Iqbal2, Aziz Khan3
1Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, 54590, Pakistan.
Scientific reports
|January 28, 2025
概括
研究人员使用修改式子方程 (MSE) 和修改式辅助方程 (MAE) 方法为[公式:参见文本]维的Jaulent-Miodek (JM) 方程获得了新的精确单子方程. 这些发现推进了非线性动力学和波浪现象研究.
科学领域:
- 数学物理 数学物理
- 非线性动力学是一种非线性动力学.
- 波浪现象是一种波浪现象.
背景情况:
- [公式:见文本]维的Jaulent-Miodek (JM) 方程在各种科学领域具有重要意义,包括光学,等离子体物理学和流体动力学.
- 它的基于能量的施罗丁格潜力需要严格的数学分析来理解复杂的波浪行为.
研究的目的:
- 为[公式:参见文本]-D JM方程导出新的精确单子解.
- 采用修改的子方程 (MSE) 和修改的辅助方程 (MAE) 技术来提取溶液.
- 通过数值模拟分析所获得的单离子溶液的物理特性.
主要方法:
- 修改次方程 (MSE) 技术的应用.
- 修改辅助方程 (MAE) 技术的应用.
- 使用Maple 18进行计算并生成3D表面,2D轮和线图用于可视化.
主要成果:
- 精确的单子解决方案,包括明亮的,扭曲的,周期性的和单一的单子,都成功地得到了.
- 在解决JM方程方面,MSE和MAE技术被证明是有效和简单的.
- 获得了新的解决方案,为现有文献贡献了新的发现.
结论:
- MSE和MAE方法在获得JM方程的单一解决方案方面非常有效.
- 衍生的解决方案在非线性动力学,光纤学和其他物理科学中具有潜在的应用.
- 该研究提出了新的,以前未报告的解决方案,并验证了所采用的方法的有效性.
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