Muruganandam, P. [UNESP]Adhikari, Sadhan Kumar [UNESP]2014-05-202014-05-202012-04-01Laser Physics. New York: Maik Nauka/interperiodica/springer, v. 22, n. 4, p. 813-820, 2012.1054-660Xhttp://hdl.handle.net/11449/24097We suggest a simple Gaussian Lagrangian variational scheme for the reduced time-dependent quasi-one-and quasi-two-dimensional Gross-Pitaevskii (GP) equations of a dipolar Bose-Einstein condensate (BEC) in cigar and disk configurations, respectively. The variational approximation for stationary states and breathing oscillation dynamics in reduced dimensions agrees well with the numerical solution of the GP equation even for moderately large short-range and dipolar nonlinearities. The Lagrangian variational scheme also provides much physical insight about soliton formation in dipolar BEC.813-820engNumerical and variational solutions of the dipolar Gross-Pitaevskii equation in reduced dimensionsArtigo10.1134/S1054660X12040135WOS:000302486800034Acesso restrito8031087349809439