TY - JOUR
T1 - Robust three-dimensional spatial soliton clusters in strongly nonlocal media
AU - Zhong, Wei Ping
AU - Yi, Lin
AU - Xie, Rui Hua
AU - Belić, Milivoj
AU - Chen, Goong
PY - 2008/1/28
Y1 - 2008/1/28
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=38049103716&partnerID=8YFLogxK
U2 - 10.1088/0953-4075/41/2/025402
DO - 10.1088/0953-4075/41/2/025402
M3 - Article
AN - SCOPUS:38049103716
SN - 0953-4075
VL - 41
JO - Journal of Physics B: Atomic, Molecular and Optical Physics
JF - Journal of Physics B: Atomic, Molecular and Optical Physics
IS - 2
M1 - 025402
ER -