Direct analysis of the bright-soliton collisions in the focusing vector nonlinear Schrodinger equation

被引：7
|
作者：
Xu, Tao [1 ]
Tian, Bo [1 ,2 ,3 ]
Xue, Yu-Shan [1 ]
Qi, Feng-Hua [1 ]
机构：
[1] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China
[2] Beijing Univ Aeronaut & Astronaut, State Key Lab Software Dev Environm, Beijing 100191, Peoples R China
[3] Beijing Univ Posts & Telecommun, Key Lab Informat Photon & Optic Communicat BUPT, Minist Educ, Beijing 100876, Peoples R China
来源：
EPL | 2010年 / 92卷 / 05期
基金：
中国国家自然科学基金;
关键词：
PARTIALLY COHERENT SOLITONS; SHAPE-CHANGING COLLISIONS; OPTICAL SOLITONS;
D O I：
10.1209/0295-5075/92/50002
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The multi-component Wronskian representation of the bright N-soliton solution to the focusing vector nonlinear Schrodinger equation for certain optical fibers allows a direct algebraic method to study the collision behavior of N vector solitons with m components. In this letter, this method is used to analyze the two- and three-soliton collisions via symbolic computation. The phase-shift formulae induced by the vector-soliton collisions are given explicitly, and the parametric conditions are revealed for the amplitude preservation of all the soliton components in the collision. In addition, the generalized linear fractional transformations are also derived to directly describe the state change for each component of colliding solitons. Copyright (C) EPLA, 2010
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页数：6
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