Three-dimensional Hermite-Bessel solitons in strongly nonlocal media with variable potential coefficients Academic Article uri icon


  • 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. © 2013 Elsevier B.V. All rights reserved.

author list (cited authors)

  • Xu, S., & Belić, M. R.

citation count

  • 15

publication date

  • February 2014