对Hirota-Maccari系统的分析解决方案和混乱的见解
Tarmizi Usman1, Mohammad Safi Ullah2
1Department of Mathematics, Universitas Syiah Kuala, Banda Aceh, 23111, Indonesia.
Scientific reports
|December 10, 2025
概括
这项研究探讨了 (2+1) 维的Hirota-Maccari模型,使用[公式:参见文本]扩展方法找到新的单元解决方案. 这项研究还研究了模型模型.
科学领域:
- 非线性物理学 非线性物理学
- 数学物理 数学物理
- 光学是什么?光学是什么?光学是什么?
背景情况:
- (2+1) 维的Hirota-Maccari (HM) 模型是一种与非线性现象相关的施罗丁格方程.
- 理解物理学,光学,流体动力学和等离子体物理学中的各种非线性现象需要强大的分析和数值方法.
研究的目的:
- 为了研究 (2+1) 维的Hirota-Maccari模型.
- 通过[公式:参阅文本]扩展和通用[公式:参阅文本]扩展方法来导出新型单子子解决方案.
- 分析模型的混乱属性.
主要方法:
- 变量转换为一个普通微分方程.
- [公式:见文本]扩展和通用的[公式:见文本]扩展方法的应用.
- 在2D,3D和轮格式的数值模拟.
- 对于动态规划器结构的利略转换.
- 混沌检测工具 (碎形维度,吸引力盆地,复发地图,奇怪的吸引力,多稳定性,返回地图).
主要成果:
- 产生各种单体溶液,包括双周期波,暗单体,明亮单体,反紧单体,明亮暗呼吸波,周期多重波,多重暗亮呼吸波,紧单体和 [公式:参见文本] 形周期波.
- 数字模拟以3D和2D格式可视化.
- 在模型中分析混乱行为和多稳定性.
结论:
- [公式:见文本]扩展和通用的[公式:见文本]扩展方法为Hirota-Maccari模型提供了新的解决方案.
- 该研究将理论理解与在非线性物理系统中的潜在应用联系起来.
- 这项研究提出了关于模型动态和混乱性质的新发现.
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