Breather and rogue wave solutions of a generalized nonlinear Schrödinger equation.
Breather and rogue wave solutions of a generalized nonlinear Schrödinger equation.
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DOI：
10.1103/physreve.87.053202
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发表时间：
2013-04
期刊：
影响因子：
--
通讯作者：
Lihong Wang;K. Porsezian;Jingsong He
中科院分区：
文献类型：
--
作者：
Lihong Wang;K. Porsezian;Jingsong He
在本文中，使用达布变换，我们证明了一阶呼吸和高阶流氓波的产生从一个广义的非线性薛定谔方程与几个高阶非线性效应代表飞秒脉冲通过非线性石英光纤传输。同样的非线性演化方程也可以描述经典海森堡自旋链中的孤子型非线性激发。这样的解有一个参数γ（1），表示高阶效应的强度。从有理解的数值曲线图出发，详细讨论了γ（1）产生的呼吸波和流氓波的压缩效应。
In this paper, using the Darboux transformation, we demonstrate the generation of first-order breather and higher-order rogue waves from a generalized nonlinear Schrödinger equation with several higher-order nonlinear effects representing femtosecond pulse propagation through nonlinear silica fiber. The same nonlinear evolution equation can also describe the soliton-type nonlinear excitations in classical Heisenberg spin chain. Such solutions have a parameter γ(1), denoting the strength of the higher-order effects. From the numerical plots of the rational solutions, the compression effects of the breather and rogue waves produced by γ(1) are discussed in detail.