Variational and accessible soliton approximations to multidimensional solitons in highly nonlocal nonlinear media

Branislav N. Aleksić, Najdan B. Aleksić, Milan S. Petrović, Aleksandra I. Strinić, Milivoj R. Belić

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

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 languageEnglish
Pages (from-to)31842-31852
Number of pages11
JournalOptics Express
Volume22
Issue number26
DOIs
Publication statusPublished - 29 Dec 2014
Externally publishedYes

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