有折射率的 Chen-Lee-Liu 方程的扰乱式的精确曲解
1Department of Mathematics, Northeast Petroleum University, Daqing 163318, China.
Heliyon
|October 11, 2023
概括
这项研究为扰乱的陈·李·方程找到精确的音光纤解决方案. 这些结果提高了对脉冲传播和光纤设计的理解.
科学领域:
- 非线性光学是非线性光学.
- 数学物理 数学物理
背景情况:
- 陈利模型描述了光纤中的脉冲传播.
- 了解光学介质中的非线性现象对于高级应用至关重要.
研究的目的:
- 为了研究与折射率相关的 Chen-Lee-Liu 方程的精确曲率解决方案.
- 分析这些的解决方案的特征及其影响.
主要方法:
- 使用试验方程方法.
- 利用多项式的完整区分系统来找到精确的解决方案.
主要成果:
- 获得了 Chen-Lee-Liu 扰乱方程的精确声解决方案.
- 确定了所得到的溶液的相应的声参数.
- 在特定的参数约束下展示了说明性示例.
结论:
- 该研究为一个重要的非线性光学模型提供了精确的分析解决方案.
- 这些发现有助于对光脉冲动态的基本理解.
- 在开发和设计新型光纤方面存在潜在的应用.
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