非均匀Kerr介质中畸形波的特性研究  

Research on Rogue Waves in Inhomogeneous Kerr Medium

作　　者：宋妮[1] 薛亚奎[1] SONG Ni XUE Ya-kui(School of Science, North University of China, Taiyuan 030051, China)

机构地区：[1]中北大学理学院,山西太原030051

出　　处：《中北大学学报（自然科学版）》2017年第1期9-14,共6页Journal of North University of China(Natural Science Edition)

基　　金：山西省自然科学基金资助项目(2015011009)

摘　　要：以Kerr介质中二维各向异性空间孤子的传输方程为研究对象,对非均匀(2+1)维非线性薛定谔方程畸形波的动力学特性进行了分析和研究.利用相似变换和直接假设,构建出了非均匀(2+1)维非线性薛定谔方程的一阶、二阶畸形波解,深入讨论了畸形波在不同色散介质中的传播特性,包括幅值和位置等.所得结果可用于描述光纤中出现的一些物理现象.Focusing on the transmission equation of the two-dimension anisotropy spatial soliton in the Kerr medium, nonlinear dynamic behaviors of the rogue waves for the （2 ＋1）-dimensional nonlinear Schr？ dinger equation were analyzed and studied. The similarity transformation and direct hypothesis were used to construct the first-order and second-order rogue waves solutions. On the basis of the solutions, transmission characteristics of the rogue waves were discussed in view of different types of disper- sive medium, including amplitude and location. It can be applied to describe the physical phenomena in the optical fibers.

关 键 词：畸形波 相似变换 非线性薛定谔方程 动力学特性 

分 类 号：O175[理学—数学]