动态探索光学单子解决方案的M-分数偏轴波浪方程
Md Habibul Bashar1,2, Supta Ghosh2, M M Rahman1
1Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka, Bangladesh.
PloS one
|February 29, 2024
概括
这项研究发现了使用exp [-φ(ξ) ] 扩张方法的非线性M分数偏轴波方程的新单元解. 这些解决方案揭示了稳定,精确的移动波形状,具有重要的物理影响.
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:
- 非线性波方程对于模拟各种物理现象至关重要.
- 分数微积分为描述复杂系统提供了更普遍的方法.
- 了解非线性和分散介质中的单子动态对于光通信和其他领域至关重要.
研究的目的:
- 为了探索非线性时间M-分数偏轴波浪方程的新单元解决方案.
- 调查分数导数,分散和非线性对波浪传播的影响.
- 分析所得到的解决方案的稳定性和物理影响.
主要方法:
- 使用了先进的exp [-φ(ξ) ]扩张方法.
- 符号计算软件 (Maple 18) 用于验证.
- 进行调制不稳定性分析以评估波浪稳定性.
主要成果:
- 成功地获得了多种新的单离子溶液,包括三角形和形形式.
- 这项研究确定了扭曲形状的单子,流波和周期性单一单子波.
- 3D,2D和密度图说明了各种波形配置及其行为.
- 通过分析,得到的解决方案被证实是精确和稳定的.
结论:
- 扩 [-φ(ξ) ] 扩张法对于在分数非线性波方程中找到复杂的单子解是有效的.
- 获得的解决方案对于理解非线性光学系统中的光传播具有实际意义.
- 稳定性分析证实了发现的波溶液的稳定性.
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