TY - JOUR
T1 - Variational approach versus accessible soliton approximation in nonlocal, nonlinear media
AU - Aleksić, Branislav N.
AU - Aleksić, Najdan B.
AU - Petrović, Milan S.
AU - Strinić, Aleksandra I.
AU - Belić, Milivoj R.
N1 - Publisher Copyright:
© 2014 The Royal Swedish Academy of Sciences.
PY - 2014/9/1
Y1 - 2014/9/1
N2 - 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.
AB - 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.
KW - accessible soliton
KW - nonlocal nonlinear media
KW - numerical simulation
KW - variational approach
UR - http://www.scopus.com/inward/record.url?scp=84907291956&partnerID=8YFLogxK
U2 - 10.1088/0031-8949/2014/T162/014003
DO - 10.1088/0031-8949/2014/T162/014003
M3 - Conference article
AN - SCOPUS:84907291956
VL - T162
JO - Unknown Journal
JF - Unknown Journal
M1 - 014003
T2 - 4th International School and Conference on Photonics, PHOTONICA 2013
Y2 - 26 August 2013 through 30 August 2013
ER -