Three-dimensional Hermite-Bessel solitons in strongly nonlocal media with variable potential coefficients

Si Liu Xu*, Milivoj R. Belić

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

35 Citations (Scopus)

Abstract

We solve the three-dimensional nonlinear Schrödinger equation with variable parabolic potential coefficients in strongly nonlocal nonlinear media. Exact analytical solutions in the form of self-similar waves, namely the Hermite-Bessel solitons, are found. Higher-order Hermite-Bessel solitons, which can exist in various forms such as the three-dimensional vortex solitons and the multipole solitons are also discussed. To ascertain the stability of these analytical solutions during evolution, numerical simulations have been performed.

Original languageEnglish
Pages (from-to)62-69
Number of pages8
JournalOptics Communications
Volume313
DOIs
Publication statusPublished - 2014
Externally publishedYes

Keywords

  • Hermite-Bessel solitons
  • Nonlocal nonlinear media
  • Self-similar transformation

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