title: Analytical chirped solutions to the (3 + 1)-dimensional Gross-Pitaevskii equation for various diffraction and potential functions.
abstract: 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.
authors.affiliation: Science Program, Texas A&M University at Qatar, Doha, Qatar.
authors.forename: Anas
authors.initials: A
authors.lastname: Al Bastami
authors.forename: Milivoj R
authors.initials: MR
authors.lastname: Belić
authors.forename: Daniela
authors.initials: D
authors.lastname: Milović
authors.forename: Nikola Z
authors.initials: NZ
authors.lastname: Petrović