在 (2+1) 维的Konopelchenko Dubrovsky系统的单子的动态行为
A Hussain1, T Parveen2, B A Younis3
1Abdus Salam School of Mathematical Sciences, Government College University, Lahore, 54600, Pakistan. akhtarhussain21@sms.edu.pk.
Scientific reports
|January 3, 2024
概括
这项研究使用Konopelchenko-Dubrovsky (KD) 方程分析非线性波,找到新的单一和单一的解决方案. 这些新发现促进了对数学物理学中非线性进化方程的理解.
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.
背景情况:
- 非线性进化方程 (NEE) 是对自然现象建模的基础.
- 微弱非线性波在各种科学领域都至关重要.
研究的目的:
- 在数学物理中使用Konopelchenko-Dubrovsky (KD) 方程来研究非线性波.
- 为[公式:参见文本]维的KD模型推导出新的单一和单一的解决方案.
主要方法:
- 用[公式:参见文本]扩展方法进行分析.
- 使用了符号计算和Mathematica模拟.
主要成果:
- 单独波和单独子解决方案成功生成.
- 解决方案用三角函数,过倍函数和理性函数来表达.
- 发现了以前未经记录的新解决方案.
结论:
- [公式:参见文本]扩展方法有效地为KD方程提供了新的解决方案.
- 这些发现有助于研究非线性波现象.
- 可视化证实了获得的单一波溶液的行为.
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