Kummer solitons in strongly nonlocal nonlinear media Academic Article uri icon


  • We solve the three-dimensional (3D) time-dependent strongly nonlocal nonlinear Schrödinger equation (NNSE) in spherical coordinates, with the help of Kummer's functions. We obtain analytical solitary solutions, which we term the Kummer solitons. We compare analytical solutions with the numerical solutions of NNSE. We discuss higher-order Kummer spatial solitons, which can exist in various forms, such as the 3D vortex solitons and the multipole solitons. © 2008 Elsevier B.V. All rights reserved.

author list (cited authors)

  • Zhong, W., & Belić, M.

citation count

  • 19

publication date

  • January 2009