• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Stability analysis of plane wave solutions of the generalized Ablowitz-Ladik system
【24h】

Stability analysis of plane wave solutions of the generalized Ablowitz-Ladik system

机译：广义Ablowitz-Ladik系统平面波解的稳定性分析。

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

We report in this paper a detailed analysis of modulational instability of a plane wave solution of discrete dissipative structures. A generalized Ablowitz-Ladik (AL) equation with a cubic and quintic nonlinearity is then considered, and analysed via the full linear stability analysis of the nonlinear plane wave solution. We derive analytical expressions for the domain of existence as well as the gain of modulational instability of moving plane waves. In particular, we find that discreteness drastically modifies the stability condition as well as the quintic nonlinearity. The analytical and numerical stability analyses are fully supported by an extensive series of numerical simulations of the full model. The generation of pulse trains with high repetition rate predicted by analytical study is then exhibited.
机译：我们在本文中报告了离散耗散结构的平面波解的调制不稳定性的详细分析。然后考虑具有三次和五次非线性的广义Ablowitz-Ladik（AL）方程，并通过非线性平面波解的全线性稳定性分析来分析。我们导出存在域的解析表达式，以及移动平面波的调制不稳定性的增益。特别是，我们发现离散极大地改变了稳定性条件以及五次非线性。完整模型的大量数值模拟完全支持分析和数值稳定性分析。然后展示了通过分析研究预测的具有高重复率的脉冲序列的产生。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号