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

abstract

• 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.

authors

• Belic, Milivoj
• Chen, Goong

author list (cited authors)

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

citation count

• 38

publication date

• January 2008

publisher

• IOP Publishing  Publisher

published in

• Journal of Optics B: Quantum and Semiclassical Optics  Journal

Digital Object Identifier (DOI)

• 10.1088/0953-4075/41/2/025402

start page

• 025402

end page

• 025402

volume

• 41

issue

• 2