Soliton states of Maxwell's equations and nonlinear Schrodinger equation

被引：0
作者：
陈翼强
机构：
[1] Canberra
[2] Australian National University
[3] Optical Sciences Centre
来源：
Science China Mathematics | 1997年 / 10期
关键词：
nonlinear optics; Maxwell’s equations; Schrodinger equation; solitons;
D O I：
暂无
中图分类号：
O413.1 [量子力学（波动力学、矩阵力学）];
学科分类号：
070205 ; 0809 ;
摘要：
Similarities and fundamental differences between Maxwell’s equations and nonlinear Schrodinger equation in predicting a soliton evolution in a uniform nonlinear anisotropic medium are analyzed.It is found that in some cases,the soliton solutions to the nonlinear Schrodinger equation cannot be recovered from Maxwell’s equations while in others the soliton solutions to Maxwell’s equations are lost from the nonlinear Schrodinger equation through approximation,although there are cases where the soliton solutions to the two sets of the equations demonstrate only quantitative difference.The origin of the differences is also discussed.
引用
收藏
页码：1073 / 1081
页数：9
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