Variational approach to multidimensional solitons in highly nonlocal nonlinear media
arXiv:1410.2580 · doi:10.1364/OE.22.031842
Abstract
We apply the variational approach to solitons in highly nonlocal nonlinear media in dimensions. We compare results obtained by the variational approach with those obtained in 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 variational highly nonlocal approximation provides more accurate results and as such is more appropriate solution than the accessible soliton approximation.
arXiv admin note: substantial text overlap with arXiv:1311.6840