在分数顺序的昆杜-埃克豪斯系统中分析单一波解
Saleh Alshammari1, Khaled Moaddy2, Rasool Shah3
1Department of Mathematics, College of Science, University of Hail, 2440, Hail, Saudi Arabia.
Scientific reports
|February 14, 2024
概括
本研究使用Riccati-Bernoulli子ODE方法为摩擦式Kundu-Eckhaus方程找到光学单子解决方案. 这种方法有效地提取分数局部微分方程的复杂波解.
科学领域:
- 分数局部微分方程的部分微分方程.
- 数学物理学的数学物理.
- 非线性波浪现象非线性波浪现象
背景情况:
- 分数局部微分方程对于模拟复杂的物理现象至关重要.
- 寻找这些方程的移动波解决方案是具有挑战性的.
- 为了应对这一挑战,已经开发出各种数学技术.
研究的目的:
- 为了获得光学单子解决方案的摩擦式Kundu-Eckhaus方程 (FKEe).
- 采用通用系数和里卡蒂-伯努利子ODE技术.
- 在分数微分方程中探索复杂的波解.
主要方法:
- 使用Riccati-Bernoulli子ODE技术.使用Riccati-Bernoulli子ODE技术.使用Riccati-Bernoulli子ODE技术.
- 应用通用系数用于增强的溶液提取.
- 使用Backlund转换来生成解决方案序列.
主要成果:
- 成功提取了用于FKEe的光学单离子溶液.
- 证明了Riccati-Bernoulli亚ODE方法对分数PDEs的有效性.
- 通过系统的构建生成复杂的波解决方案.
结论:
- 里卡蒂-伯努利子ODE技术是解决分数PDEs的一个强大的工具.
- 该研究为FKEe的光学单子解决方案提供了宝贵的见解.
- 可视化 (3D和密度图形) 有助于理解衍生解决方案.
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