Stability of spinning ring solitons of the cubic-quintic nonlinear Schrodinger equation

被引：101
|
作者：
Towers, I [1 ]
Buryak, AV
Sammut, RA
Malomed, BA
Crasovan, LC
Mihalache, D
机构：
[1] Australian Def Force Acad, Sch Math & Stat, Canberra, ACT 2600, Australia
[2] Tel Aviv Univ, Fac Engn, Dept Interdisciplinary Sci, IL-69978 Tel Aviv, Israel
[3] Inst Atom Phys, Dept Theoret Phys, R-76900 Bucharest, Romania
来源：
PHYSICS LETTERS A | 2001年 / 288卷 / 5-6期
基金：
澳大利亚研究理事会;
关键词：
solitons; ring; nonlinear Schrodinger equation;
D O I：
10.1016/S0375-9601(01)00565-5
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We investigate stability of (2 + 1)-dimensional ring solitons of the nonlinear Schrodinger equation with focusing cubic and defocusing quintic nonlinearities. Computing eigenvalues of the linearised equation, we show that rings with spin (topological charge) s = 1 and s = 2 are linearly stable, provided that they are very broad. The stability regions occupy, respectively, 9% and 8% of the corresponding existence regions. These results finally resolve a controversial stability issue for this class of models. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：292 / 298
页数：7
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