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非线性介质中二维类氢孤子的传输
引用本文:杨小云.非线性介质中二维类氢孤子的传输[J].荆门职业技术学院学报,2010(11):26-31,34.
作者姓名:杨小云
作者单位:荆楚理工学院数理学院,湖北荆门448000
摘    要:文章研究了类氢原子势场作用下的二维非线性薛定谔方程即广义二维非线性薛定谔方程,得出其解是线性解对空间孤波解的调制结果,亦为孤波解,并称之为类氢孤子,并分析了二维类氢孤子在非线性介质中的传输特性。

关 键 词:线性解  自相似性  类氢孤子

The Transmission of Two-dimensional Hydrogen-like Soliton in Nonlinear Media
YANG Xiao-yun.The Transmission of Two-dimensional Hydrogen-like Soliton in Nonlinear Media[J].Journal of Jingmen Vocational Technical College,2010(11):26-31,34.
Authors:YANG Xiao-yun
Institution:YANG Xiao-yun(School of Mathematics and Physics,JingChu University of Technology,Jingmen,Hubei,448000)
Abstract:This paper studies the two-dimensional nonlinear Schrdinger function with hydrogen-like atom potential field.The solutions of two-dimensional generalized nonlinear Schr?dinger equation are obtained and analyzed in details.Spatial solitary wave is modulated by the linear solution.This soliton solution can be defined as hydrogen-like soliton.The transmission characteristics of two-dimensional Hydrogen-like soliton in Nonlinear Media is analyzed in this paper.
Keywords:linear solution  self-similarity  hydrogen-like soliton
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