TY - JOUR
T1 - Analytical traveling-wave and solitary solutions to the generalized Gross-Pitaevskii equation with sinusoidal time-varying diffraction and potential
AU - Petrović, Nikola Z.
AU - Aleksić, Najdan B.
AU - Bastami, Anas Al
AU - Belić, Milivoj R.
PY - 2011/3/30
Y1 - 2011/3/30
N2 - We determine analytical extended traveling-wave and spatiotemporal solitary solutions to the generalized (3+1)-dimensional Gross-Pitaevskii equation with time-dependent coefficients, for the sinusoidally time-varying diffraction and quadratic potential strength. A number of periodic and localized solutions are obtained whose intensity does not decrease in time in the absence of externally induced gain or loss. Stability analysis of our solitary solutions is carried out, to display their modulational stability.
AB - We determine analytical extended traveling-wave and spatiotemporal solitary solutions to the generalized (3+1)-dimensional Gross-Pitaevskii equation with time-dependent coefficients, for the sinusoidally time-varying diffraction and quadratic potential strength. A number of periodic and localized solutions are obtained whose intensity does not decrease in time in the absence of externally induced gain or loss. Stability analysis of our solitary solutions is carried out, to display their modulational stability.
UR - http://www.scopus.com/inward/record.url?scp=79958125558&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.83.036609
DO - 10.1103/PhysRevE.83.036609
M3 - Article
AN - SCOPUS:79958125558
SN - 1539-3755
VL - 83
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 3
M1 - 036609
ER -