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

By D. Mihalache, D. Mazilu, F. Lederer, H. Leblond and B.A. Malomed

Abstract

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

Publisher: 'American Physical Society (APS)'
Year: 2007
DOI identifier: 10.1103/PhysRevA.76.045803
OAI identifier: oai:okina.univ-angers.fr:6708
Provided by: Okina

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