Unstable higher modes of a three-dimensional nonlinear Schrodinger equation

被引：51

作者：

Edmundson, DE

机构：

[1] Research Center for Computational Science Fujitsu Ltd., Chiba, 261

来源：

PHYSICAL REVIEW E | 1997年 / 55卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.55.7636

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

Characterized by a central core surrounded by a number of concentric shells, the stability of the higher-bound solitary wave solutions to a three-dimensional nonlinear Schrodinger equation with saturating nonlinearity is investigated. A linear stability analysis uf spherical harmonic modes reveals these solutions to be transversely unstable. Further, the complicated intermediate patterns observed in numerical simulations are shown tu result from a degeneracy in the number of maximally unstable modes, the mode mixture depending on the realization of the destabilizing perturbation.

引用

页码：7636 / 7644

页数：9

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