Robust three-dimensional spatial soliton clusters in strongly nonlocal media Academic Article uri icon


  • The propagation of three-dimensional soliton clusters in strongly nonlocal nonlinear media is investigated analytically and numerically. A broad class of exact self-similar solutions to the strongly nonlocal Schrödinger equation has been obtained. We find robust soliton cluster solutions, constructed with the help of Whittaker and Hermite-Gaussian functions. We confirm the stability of these solutions by direct numerical simulation. Our results demonstrate that robust higher-order spatial soliton clusters can exist in various forms, such as three-dimensional Gaussian solitons, radially symmetric solitons, multipole solitons and shell solitons. © 2008 IOP Publishing Ltd.

author list (cited authors)

  • Zhong, W., Yi, L., Xie, R., Belić, M., & Chen, G.

citation count

  • 39

publication date

  • January 2008