Optical solitary waves in the higher order nonlinear Schrodinger equation

被引：380

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

页码：448 / 451

页数：4

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