INTERNAL DYNAMICS OF A VECTOR SOLITON IN A NONLINEAR-OPTICAL FIBER

被引:106
作者
KAUP, DJ
MALOMED, BA
TASGAL, RS
机构
[1] TEL AVIV UNIV,SCH MATH SCI,DEPT APPL MATH,IL-69978 TEL AVIV,ISRAEL
[2] CLARKSON UNIV,INST NONLINEAR STUDIES,POSTDAM,NY 13699
来源
PHYSICAL REVIEW E | 1993年 / 48卷 / 04期
关键词
D O I
10.1103/PhysRevE.48.3049
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We analyze the dynamics of a vector soliton governed by a nearly integrable system of coupled nonlinear Schrodinger equations. Inserting a Gaussian ansatz into the Lagrangian density, we derive a system of ordinary differential equations for the evolution of the ansatz parameters. We find a continuous family of stationary solutions to these equations which can be interpreted as vector solitons with an arbitrary polarization. Examining small internal vibrations of the vector soliton, we find three eigenmodes, of which only two were previously known. The additional internal oscillation eigenmode gives rise to antisymmetric oscillations of the symmetric soliton (45-degrees polarization). We also find the small-vibration eigenmodes for arbitrary polarization, though in an implicit form. Additionally, we find a threshold value of the relative velocity of the two polarizations that leads to splitting of the vector soliton for arbitrary polarization.
引用
收藏
页码:3049 / 3053
页数:5
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