Optical solitary waves in the higher order nonlinear Schrodinger equation

被引：378
|
作者：
Gedalin, M [1 ]
Scott, TC [1 ]
Band, YB [1 ]
机构：
[1] BEN GURION UNIV NEGEV,DEPT PHYS,IL-84105 BEER SHEVA,ISRAEL
来源：
PHYSICAL REVIEW LETTERS | 1997年 / 78卷 / 03期
关键词：
D O I：
10.1103/PhysRevLett.78.448
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study solitary wave solutions of the higher order nonlinear Schrodinger equation for the propagation of short light pulses in an optical fiber. Using a scaling transformation we reduce the equation to a two-parameter canonical form. Solitary wave (l-soliton) solutions always exist provided easily met inequality constraints on the parameters in the equation are satisfied. Conditions for the existence of N-soliton solutions (N greater than or equal to 2) are determined; when these conditions are met the equation becomes the modified Korteweg-de Vries equation. A proper subset of these conditions meet the Painleve plausibility conditions for integrability.
引用
收藏
页码：448 / 451
页数：4
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