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

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.

authors

• Belic, Milivoj

published proceedings

• Opt Express

altmetric score

• 0.25

author list (cited authors)

• Aleksi, B. N., Aleksi, N. B., Petrovi, M. S., Strini, A. I., & Beli, M. R.

citation count

• 3

complete list of authors

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

publication date

• December 2014

published in

• Optics Express  Journal

keywords

• Algorithms
• Computer Simulation
• Light
• Models, Theoretical
• Nonlinear Dynamics
• Numerical Analysis, Computer-assisted
• Refractometry

PubMed Central ID

• 25607152

Digital Object Identifier (DOI)

• 10.1364/OE.22.031842

start page

• 31842

end page

• 31852

volume

• 22

issue

• 26