TY - JOUR
T1 - Analytical chirped solutions to the (3 + 1)-dimensional Gross-Pitaevskii equation for various diffraction and potential functions
AU - Al Bastami, Anas
AU - Belić, Milivoj R.
AU - Milović, Daniela
AU - Petrović, Nikola Z.
PY - 2011/7/22
Y1 - 2011/7/22
N2 - Analytical solutions to the (3 + 1)-dimensional Gross-Pitaevskii equation in the presence of chirp and for different diffraction and potential functions are found. We utilize a method we formulated to solve the Riccati equation for the chirp function that arises when the F-expansion technique and the homogeneous balance principle are applied to the Gross-Pitaevskii equation. Three specific examples of physical interest are considered in some detail.
AB - Analytical solutions to the (3 + 1)-dimensional Gross-Pitaevskii equation in the presence of chirp and for different diffraction and potential functions are found. We utilize a method we formulated to solve the Riccati equation for the chirp function that arises when the F-expansion technique and the homogeneous balance principle are applied to the Gross-Pitaevskii equation. Three specific examples of physical interest are considered in some detail.
UR - http://www.scopus.com/inward/record.url?scp=79961105836&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.84.016606
DO - 10.1103/PhysRevE.84.016606
M3 - Article
AN - SCOPUS:79961105836
SN - 1539-3755
VL - 84
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 1
M1 - 016606
ER -