STABILITY THEORY FOR PERIODIC PULSE-TRAIN SOLUTIONS OF THE NONLINEAR SCHRODINGER-EQUATION

被引：13

作者：

ARNOLD, JM

机构：

[1] Department of Electronics and Electrical Engineering, University of Glasgow, Glasgow G12 8QQ, Scotland

来源：

IMA JOURNAL OF APPLIED MATHEMATICS | 1994年 / 52卷 / 02期

关键词：

D O I：

10.1093/imamat/52.2.123

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The problem of the stability of periodic and quasiperiodic trains of soliton pulses in the nonlinear Schrodinger equation is examined using linearized perturbation theory. When the quasiperiodic soliton pulse train is subjected to perturbations of position or phase, there are both stable and unstable regions of the parameter space. The stability exponents of these perturbations are determined in the asymptotic case of large separation between the solitons.

引用

页码：123 / 140

页数：18

共 23 条

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[2]

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