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.
作者
宋妮
薛亚奎
SONG Ni XUE Ya-kui(School of Science, North University of China, Taiyuan 030051, China)
出处
《中北大学学报（自然科学版）》
CAS
北大核心
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)
关键词
畸形波
相似变换
非线性薛定谔方程
动力学特性
rogue waves
similarity transformation
nonlinear Schrodinger equation
dynamic behaviors
