Light bullets in coupled nonlinear Schrödinger equations with variable coefficients and a trapping potential. Academic Article uri icon

abstract

  • We analyze three-dimensional (3D) vector solitary waves in a system of coupled nonlinear Schrödinger equations with spatially modulated diffraction and nonlinearity, under action of a composite self-consistent trapping potential. Exact vector solitary waves, or light bullets (LBs), are found using the self-similarity method. The stability of vortex 3D LB pairs is examined by direct numerical simulations; the results show that only low-order vortex soliton pairs with the mode parameter values n ≤ 1, l ≤ 1 and m = 0 can be supported by the spatially modulated interaction in the composite trap. Higher-order LBs are found unstable over prolonged distances.

author list (cited authors)

  • Xu, S., Zhao, G., Belić, M. R., He, J., & Xue, L. i.

citation count

  • 13

publication date

  • April 2017