Yang Guangye, Wang Yan, Qin Zhenyun, Malomed Boris A, Mihalache Dumitru, Li Lu
Institute of Theoretical Physics, Shanxi University, Taiyuan, Shanxi 030006, China and Department of Physics, Shanxi Medical University, Taiyuan, Shanxi 030001, China.
Institute of Theoretical Physics, Shanxi University, Taiyuan, Shanxi 030006, China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Dec;90(6):062909. doi: 10.1103/PhysRevE.90.062909. Epub 2014 Dec 9.
Based on the Peregrine solution (PS) of the nonlinear Schrödinger (NLS) equation, the evolution of rational fraction pulses surrounded by zero background is investigated. These pulses display the behavior of a breatherlike solitons. We study the generation and evolution of such solitons extracted, by means of the spectral-filtering method, from the PS in the model of the optical fiber with realistic values of coefficients accounting for the anomalous dispersion, Kerr nonlinearity, and higher-order effects. The results demonstrate that the breathing solitons stably propagate in the fibers. Their robustness against small random perturbations applied to the initial background is demonstrated too.
基于非线性薛定谔（NLS）方程的佩雷格林解（PS），研究了零背景下有理分式脉冲的演化。这些脉冲呈现出类呼吸孤子的行为。我们通过频谱滤波方法，在考虑反常色散、克尔非线性和高阶效应的光纤模型中，从PS提取此类孤子并研究其产生和演化。结果表明，呼吸孤子在光纤中稳定传播。同时也证明了它们对施加于初始背景的小随机扰动具有鲁棒性。
