Wang L H, Porsezian K, He J S
Department of Mathematics, Ningbo University, Ningbo, Zhejiang 315211, PR China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 May;87(5):053202. doi: 10.1103/PhysRevE.87.053202. Epub 2013 May 30.
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.
在本文中，我们利用达布变换，从一个包含若干高阶非线性效应的广义非线性薛定谔方程出发，证明了一阶呼吸子和高阶 rogue 波的产生，该方程描述了飞秒脉冲在非线性石英光纤中的传播。同一个非线性演化方程也能描述经典海森堡自旋链中的孤子型非线性激发。这类解有一个参数γ(1)，表示高阶效应的强度。从有理解的数值图中，详细讨论了γ(1)产生的呼吸子和 rogue 波的压缩效应。
