Abstract
We apply the variational approach to solitons in highly nonlocal nonlinear media in D = 1, 2, 3 dimensions. We compare results obtained by the variational approach with those obtained by the accessible soliton approximation, by considering the same system of equations in the same spatial region and under the same boundary conditions. To assess the accuracy of these approximations, we also compare them with the numerical solution of the equations. We discover that the accessible soliton approximation suffers from systematic errors, when compared to the variational approach and the numerical solution. The errors increase with the dimension of the system. The variational highly nonlocal approximation provides more accurate results in any dimension and as such is more appropriate solution than the accessible soliton approximation.
Original language | English |
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Pages (from-to) | 31842-31852 |
Number of pages | 11 |
Journal | Optics Express |
Volume | 22 |
Issue number | 26 |
DOIs | |
Publication status | Published - 29 Dec 2014 |
Externally published | Yes |