Ten Plus One

Mihalache, Andreea

doi:10.1163/187633003x00180

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2009

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“…3D double-soliton complexes, including rotating ones [18], have been found too. Finally, 3D vortex solitons with S = 1, 2, and 3 have been obtained recently, as solutions to the CQ CGL equation [19][20][21]. The stability of the latter solutions was analyzed in terms of the growth rates of perturbation eigenmodes, and verified in direct simulations.…”

Section: Introductionmentioning

confidence: 99%

Collisions between spinning and nonspinning co-axial three-dimensional Ginzburg-Landau solitons

Mihalache

Mazilu

Lederer

et al. 2009

Eur. Phys. J. Spec. Top.

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We report results of the first analysis of collisions between stable fundamental (alias spinless) and vortical (spinning) three-dimensional dissipative solitons in a model of a laser cavity. The systematic analysis is carried out for values S = 1 and S = 2 of the vorticity of the latter soliton. With the increase of the collision momentum, χ, the same generic scenarios are observed in either case: merger into a single fundamental soliton at both small and relatively large values of χ, and the formation of two fundamental solitons in an intermediate interval of variation of the collision momentum χ. At very large values of χ, the collision seems quasi-elastic, but the vortex soliton eventually splits into two nonspinning fragments.

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