TY - JOUR
T1 - Three-dimensional Hermite-Bessel solitons in strongly nonlocal media with variable potential coefficients
AU - Xu, Si Liu
AU - Belić, Milivoj R.
PY - 2014
Y1 - 2014
N2 - We solve the three-dimensional nonlinear Schrödinger equation with variable parabolic potential coefficients in strongly nonlocal nonlinear media. Exact analytical solutions in the form of self-similar waves, namely the Hermite-Bessel solitons, are found. Higher-order Hermite-Bessel solitons, which can exist in various forms such as the three-dimensional vortex solitons and the multipole solitons are also discussed. To ascertain the stability of these analytical solutions during evolution, numerical simulations have been performed.
AB - We solve the three-dimensional nonlinear Schrödinger equation with variable parabolic potential coefficients in strongly nonlocal nonlinear media. Exact analytical solutions in the form of self-similar waves, namely the Hermite-Bessel solitons, are found. Higher-order Hermite-Bessel solitons, which can exist in various forms such as the three-dimensional vortex solitons and the multipole solitons are also discussed. To ascertain the stability of these analytical solutions during evolution, numerical simulations have been performed.
KW - Hermite-Bessel solitons
KW - Nonlocal nonlinear media
KW - Self-similar transformation
UR - http://www.scopus.com/inward/record.url?scp=84886550943&partnerID=8YFLogxK
U2 - 10.1016/j.optcom.2013.09.043
DO - 10.1016/j.optcom.2013.09.043
M3 - Article
AN - SCOPUS:84886550943
SN - 0030-4018
VL - 313
SP - 62
EP - 69
JO - Optics Communications
JF - Optics Communications
ER -