使用两个高效的分析技术,结合布罗尔-卡乌普-库珀什米特方程的动态行为
Rimsha Ansar1, Muhammad Abbas1, Homan Emadifar2,3,4
1Department of Mathematics, University of Sargodha, Sargodha, Pakistan.
PloS one
|January 31, 2024
概括
本研究使用各种衍生品确定了非线性合布罗尔-卡乌普-库珀希米特 (BKK) 系统的多个单离子解决方案. 这些发现揭示了各种波形现象,包括明亮和单一的单子,适用于流体动力学和光学系统.
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:
- 结合的布罗尔-卡乌普-库珀希米特 (BKK) 系统在诸如流体动力学,等离子体物理学和光学等多个领域中模拟了复杂的非线性波浪演变.
- 了解这些非线性波对于涉及分散波和长引力波的应用至关重要.
研究的目的:
- 调查和确定非线性合BKK系统的多个单离子解决方案.
- 探索不同类型的衍生品 (β,符合性,局部分数,M截断) 对这些解决方案的影响.
- 分析所得到的波解的特征和几何形状.
主要方法:
- 统一和通用的伯努利次常微分方程 (sub-ODE) 技术被用来找到移动波的解决方案.
- 数学10被用来生成2D线图,轮图和3D图形来可视化和比较解决方案.
- 参数变化被用来生成单体类型的光谱.
主要成果:
- 在各种衍生定义下,成功地为BKK系统确定了多个单离子解决方案.
- 产生了各种各样的波形结构,包括明亮的单子,挤压的钟形波,单一的单子和周期性溶液.
- 使用图形表示的比较分析表明了不同类型的衍生品的有效性.
结论:
- 该研究成功地证明了统一和通用的伯努利子ODE方法的应用,用于解决各种衍生品的BKK系统.
- 获得的解决方案表现出丰富的非线性波动行为和对称的几何形状,突出了BKK模型的多功能性.
- 这些发现为非线性波动力学及其在不同科学领域的数学建模提供了宝贵的见解.
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