MODULATIONAL INSTABILITIES AND DARK SOLITONS IN A GENERALIZED NONLINEAR SCHRODINGER-EQUATION

被引:37
作者
KIVSHAR, YS [1 ]
ANDERSON, D [1 ]
LISAK, M [1 ]
机构
[1] CHALMERS UNIV TECHNOL,INST ELECTROMAGNET FIELD THEORY,S-41296 GOTHENBURG,SWEDEN
来源
PHYSICA SCRIPTA | 1993年 / 47卷 / 05期
关键词
D O I
10.1088/0031-8949/47/5/006
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The generalized nonlinear Schrodinger equation with the nonlinear term of a general form is considered. In particular cases this equation covers a saturable nonlinearity as well as higher-order nonlinearities. Modulational instability is investigated, and the possibility of dark soliton propagation is analyzed. It is shown that in the small-amplitude limit the generalized dark solitons are stable, and they are described by the Korteweg-de Vries equation. The condition to create anti-dark solitons is also formulated.
引用
收藏
页码:679 / 681
页数:3
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