Three-dimensional spinning solitons in dispersive media with the cubic-quintic nonlinearity

Anton Desyatnikov, Andrey Maimistov, Boris Malomed

Research output: Contribution to journalArticle

132 Citations (Scopus)

Abstract

We study spatiotemporal three-dimensional bright solitons in optical media whose non-linear response includes third- and fifth-order terms. By means of numerical simulations, lower and upper stability and existence borders for the solitons without the internal "spin" are identified. Using the variational method based on two different trial functions and collating the results, we obtain approximate solutions for spinning (vortex) solitons. The presence of the lower stability border for both the zero-spin and spinning solitons is a drastic difference of the three-dimensional solitons from those in one and two dimensions. The results show that the corresponding stability and existence borders are chiefly determined by the spatial dimension, quite weakly depending on the soliton's "spin." However, the energy of the spinning soliton is much larger than that of the zero-spin one.

Original languageEnglish
Pages (from-to)3107-3113
Number of pages7
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume61
Issue number3
Publication statusPublished - Mar 2000
Externally publishedYes

Fingerprint

Dispersive Media
Quintic
metal spinning
Solitons
solitary waves
nonlinearity
Nonlinearity
Three-dimensional
borders
collating
Nonlinear Response
Zero
Variational Methods
One Dimension
Vortex
Two Dimensions
Approximate Solution
vortices
Internal
Numerical Simulation

ASJC Scopus subject areas

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

Cite this

Three-dimensional spinning solitons in dispersive media with the cubic-quintic nonlinearity. / Desyatnikov, Anton; Maimistov, Andrey; Malomed, Boris.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 61, No. 3, 03.2000, p. 3107-3113.

Research output: Contribution to journalArticle

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