Stability limits for three-dimensional vortex solitons in the Ginzburg-Landau equation with the cubic-quintic nonlinearity

被引：60

作者：

Mihalache, D. ^{[1
]}

Mazilu, D. ^{[1
]}

Lederer, F. ^{[2
]}

Leblond, H. ^{[3
]}

Malomed, B. A. ^{[4
]}

机构：

[1] Horia Hulubei Natl Inst Phys & Nucl Engn, Bucharest 077125, Romania

[2] Univ Jena, Inst Solid State Theory & Theoret Opt, D-077743 Jena, Germany

[3] Univ Angers, UMR 6136, Lab POMA, F-49000 Angers, France

[4] Tel Aviv Univ, Fac Engn, Dept Phys Elect, IL-69978 Tel Aviv, Israel

来源：

PHYSICAL REVIEW A | 2007年 / 76卷 / 04期

关键词：

D O I：

10.1103/PhysRevA.76.045803

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We complete the stability analysis for three-dimensional dissipative solitons with intrinsic vorticity S in the complex Ginzburg-Landau equation with cubic and quintic terms in its dissipative and conservative parts. It is found and qualitatively explained that a necessary stability condition for all vortex solitons, but not for the fundamental ones (S=0), is the presence of nonzero diffusivity in the transverse plane. The fundamental solitons are stable in all cases when they exist, while the vortex solitons are stable only in a part of their existence domain. However, the spectral filtering (i.e., the temporal-domain diffusivity) is not necessary for the stability of any species of dissipative solitons. In addition to the recently studied solitons with S=0,1,2, a stability region is also found for ones with S=3.

引用

页数：4

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