Higher-order-effects management of soliton interactions in the Hirota equation.
Higher-order-effects management of soliton interactions in the Hirota equation.
复制标题
DOI：
10.1103/physreve.91.033201
复制
发表时间：
2015-03
期刊：
影响因子：
--
通讯作者：
Pring Wong;Wenjun Liu;Long-Gang Huang;Yan-Qing Li;N. Pan;M. Lei
中科院分区：
文献类型：
--
作者：
Pring Wong;Wenjun Liu;Long-Gang Huang;Yan-Qing Li;N. Pan;M. Lei
孤子相互作用的研究对提高非线性光学脉冲质量具有重要意义。本文考虑了由Hirota方程控制的两个孤子之间的相互作用。利用Hirota方法，得到了孤子的解析解。然后观察到一个双周期的振动现象。此外，发现并分析了与突然延迟或超前有关的高阶项系数的转折点。利用分步傅里叶方法，在不同的系数约束下，通过不同的频率间隔讨论了孤子间的相互作用，揭示了孤子间相互作用的特点。通过转折点，我们得到了一对孤子，它们往往是束缚孤子，但不完全是。此外，我们控制一对孤子以不同的发射角发射。分析了双周期振动的稳定性。本文的结果对光自路由、波导和快速开关等应用有一定的参考价值。
The study of soliton interactions is of significance for improving pulse qualities in nonlinear optics. In this paper, interaction between two solitons, which is governed by the Hirota equation, is considered. Via use of the Hirota method, an analytic soliton solution is obtained. Then a two-period vibration phenomenon is observed. Moreover, turning points of the coefficients of higher-order terms, which are related with sudden delaying or leading, are found and analyzed. With different coefficient constraints, soliton interactions are discussed by different frequency separation with the split-step Fourier method, and characteristics of soliton interactions are exhibited. Through turning points, we get a pair of solitons which tend to be bound solitons but not exactly. Furthermore, we control a pair of solitons to emit at different emission angles. The stability of the two-period vibration is analyzed. Results in this paper may be helpful for the applications of optical self-routing, waveguiding, and faster switching.