Spatiotemporal soliton clusters in strongly nonlocal media with variable potential coefficients

Si Liu Xu*, Li Xue, Milivoj R. Belić, Jun Rong He

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

37 Citations (Scopus)

Abstract

We study analytically and numerically spatiotemporal solitons in three-dimensional strongly nonlocal nonlinear media. A broad class of exact self-similar solutions to the strongly nonlocal Schrödinger equation with variable potential coefficients has been obtained. We find robust soliton cluster solutions of the accessible type, constructed with the help of Kummer and Hermite functions. They are characterized by the set of three quantum numbers. Dynamical features of these spatiotemporal accessible solitons are discussed. The validity of the analytical solutions and their stability is verified by means of direct numerical simulations.

Original languageEnglish
Pages (from-to)827-834
Number of pages8
JournalNonlinear Dynamics
Volume87
Issue number2
DOIs
Publication statusPublished - 1 Jan 2017
Externally publishedYes

Keywords

  • Light bullet
  • Nonlinear Schrödinger equation
  • Strongly nonlocal nonlinear

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