Two-dimensional solitons with hidden and explicit vorticity in bimodal cubic-quintic media

A. S. Desyatnikov, D. Mihalache, D. Mazilu, B. A. Malomed, C. Denz, F. Lederer

Research output: Contribution to journalArticle

30 Citations (Scopus)

Abstract

We demonstrate that two-dimensional two-component bright solitons of an annular shape, carrying vorticities (m,±m) in the components, may be stable in media with the cubic-quintic nonlinearity, including the hidden-vorticity (HV) solitons of the type (m,-m), whose net vorticity is zero. Stability regions for the vortices of both (m,±m) types are identified for m= 1, 2, and 3, by dint of the calculation of stability eigenvalues, and in direct simulations. In addition to the well-known symmetry-breaking (external) instability, which splits the ring soliton into a set of fragments flying away in tangential directions, we report two new scenarios of the development of weak instabilities specific to the HV solitons. One features charge flipping, with the two components exchanging angular momentum and periodically reversing the sign of their spins. The composite soliton does not directly split in this case; therefore, we identify such instability as an intrinsic one. Eventually, the soliton splits, as weak radiation loss drives it across the border of the ordinary strong (external) instability. Another scenario proceeds through separation of the vortex cores in the two components, each individual core moving toward the outer edge of the annular soliton. After expulsion of the cores, there remains a zero-vorticity breather with persistent internal vibrations.

Original languageEnglish
Article number026615
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume71
Issue number2
DOIs
Publication statusPublished - Feb 2005
Externally publishedYes

Fingerprint

Quintic
Bimodal
Vorticity
vorticity
Solitons
solitary waves
Vortex
vortices
Scenarios
expulsion
Breathers
exchanging
reversing
Stability Region
Zero
borders
Angular Momentum
Symmetry Breaking
broken symmetry
Fragment

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Two-dimensional solitons with hidden and explicit vorticity in bimodal cubic-quintic media. / Desyatnikov, A. S.; Mihalache, D.; Mazilu, D.; Malomed, B. A.; Denz, C.; Lederer, F.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 71, No. 2, 026615, 02.2005.

Research output: Contribution to journalArticle

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