Variational approach versus accessible soliton approximation in nonlocal, nonlinear media

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

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

6 Citations (Scopus)

Abstract

We discuss differences between the variational approach to solitons and the accessible soliton approximaion in a highly nonlocal, nonlinear medium. We compare results of both approximations by considering the same system of equations in the same spatial region, under the same boundary conditions. We also compare these approximations with the numerical solution of the equations. We find that the variational highly nonlocal approximation provides more accurate results and, as such, is a more appropriate solution than the accessible soliton approximation. The accessible soliton model offers a radical simplification in the treatment of highly nonlocal, nonlinear media, with easy comprehension and convenient parallels to a quantum harmonic oscillator, however, with a hefty price tag: a systematic numerical discrepancy of up to 100% with the numerical results.

Original languageEnglish
Article number014003
JournalUnknown Journal
VolumeT162
DOIs
Publication statusPublished - 1 Sept 2014
Externally publishedYes
Event4th International School and Conference on Photonics, PHOTONICA 2013 - Belgrade, Serbia
Duration: 26 Aug 201330 Aug 2013

Keywords

  • accessible soliton
  • nonlocal nonlinear media
  • numerical simulation
  • variational approach

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