Hirota方程的二阶怪波解及其传输特点  

2-order Rogue Solution of Hirota Equation and Its Transmision

作　　者：李淑青[1] 常锋 郭尊光[1] 刘阳[1] 

机构地区：[1]太原工业学院理学系,太原030008 [2]中国移动通信集团山西有限公司,太原030032

出　　处：《光子学报》2016年第10期67-72,共6页Acta Photonica Sinica

基　　金：国家自然科学基金(No.61475198);太原工业学院青年(后备)学科带头人支持计划资助~~

摘　　要：为了研究Hirota方程的二阶怪波解和它在光纤中的传输特性,数值分析了二阶怪波的形成机理,并采用分步傅里叶方法数值模拟了二阶怪波在光纤中的传输特点.结果表明:二阶怪波可以看作两个怪波逐渐靠近的结果;在光纤中传输时,随着距离的增加,二阶怪波最终分裂成两组次波,每组次波的能量值降为初值的一半,它们之间的距离越来越大且互不干扰,并随着距离的增加能量逐渐降低.数值分析了自陡峭和自频移对二阶怪波传输的影响,发现自陡峭引起二阶怪波在传播过程中左波峰能量大于右波峰能量,自频移使怪波的中心发生了非线性偏离,且参数的正负决定偏离的方向.In order to study the 2-order rogue solution of Hirota equation and its transmision,the formation mehanism of the 2-order rogue was numerical analyzed and the characteristic of the 2-order rogue wave propagation in the fiber was simulated by the fast Fourier transform.It is found that the 2-order rogue wave can be regarded as the two 1-order waves superposition.In the transmission process,the 2-order rogue wave is firstly split into two rogue waves,and the energy of the 2-order wave is reduced by half,and the distance between them is bigger but there is no mutual interference.Finally,the effects of self-steepening and self-frequency shift for 2-order rogue were numerical analyzed.The results show that self-steepening causes the energy of left wave bigger than right wave,and self-frequency shift makes the center of rogue wave nonlinear deviated,and the parameters decide the direction of deviate.

关 键 词：非线性光学 Hirota方程 数值模拟 二阶怪波 自频移 

分 类 号：TN929.11[电子电信—通信与信息系统]