Light bullets in coupled nonlinear Schrödinger equations with spatially modulated coefficients and Bessel trapping potential

Siliu Xu*, Milivoj R. Belić

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

We discuss three-dimensional (3D) light bullets (LBs) in a system of coupled nonlinear Schrödinger equations with spatially modulated diffraction and nonlinearity coefficients, under the action of a Bessel trapping potential. Exact spatiotemporal vector solitary waves, or LBs, are obtained using the method of separation of variables and the Hirotas bilinear method. An inverse solution procedure is introduced, in which the desired localized solutions of equations are proposed first and then the corresponding diffraction and nonlinearity coefficients determined. New 3D wave packets are built with the help of spherical harmonics in the form of multipole, necklace, and toroidal solitary pulses. Numerical solution of the full system of equations indicates that an initial wave in the form of such 3D wave packets is longlived but slowly changing along the propagation direction.

Original languageEnglish
Pages (from-to)683-692
Number of pages10
JournalJournal of Modern Optics
Volume62
Issue number9
DOIs
Publication statusPublished - 21 May 2015
Externally publishedYes

Keywords

  • nonlinear optics
  • spatial solitons

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