Journal
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS
Volume 41, Issue 2, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0953-4075/41/2/025402
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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 Schrodinger 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.
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