A method for filtering and controlling soliton states of the Bose-Einstein condensate is presented. The analysis is carried out by considering the 3D Gross-Pitaevskii (GP) equation with appropriate confining potential wells. Suitable matching conditions, which are relevant for filtering and mantaining localized states in experiments, are established and exact controlled analytical solutions of the 3D GP equation are found and compared with the approximate ones obtained with variational approches. © Physica Scripta 2005
The existence and stability of solitons in Bose-Einstein condensates with attractive interatomic int...
Two-dimensional stability of a controlled Bose-Einstein condensation state, in the form of a nonline...
Using variational and numerical solutions of the mean-field Gross-Pitaevskii equation for attractive...
A method for filtering and controlling soliton states of the Bose-Einstein condensate is presented. ...
We present a controlling potential method for solving the three-dimensional Gross-Pitaevskii equatio...
We present one-dimensional (1D) stability analysis of a recently proposed method to filter and contr...
We present a class of three-dimensional solitary waves solutions of the Gross-Pitaevskii (GP) equati...
The results of recently developed investigations, that have been carried out within the framework of...
On the basis of recent investigations, a newly developed analytical procedure is used for constructi...
On the basis of recent investigations, a newly developed analytical procedure is used for constructi...
We provide an exact analytical model of the 1D Gross-Pitäevskii equation for a composite trap, which...
We suggest a pseudospectral method for solving the three-dimensional time-dependent Gross-Pitaevskii...
The stationary solutions of the Gross-Pitaevskii equation can be divided in two classes: those which...
The possibility of the decomposition of the three-dimensional (3D) Gross–Pitaevskii equation (GPE) i...
The existence and stability of solitons in Bose-Einstein condensates with attractive interatomic int...
Two-dimensional stability of a controlled Bose-Einstein condensation state, in the form of a nonline...
Using variational and numerical solutions of the mean-field Gross-Pitaevskii equation for attractive...
A method for filtering and controlling soliton states of the Bose-Einstein condensate is presented. ...
We present a controlling potential method for solving the three-dimensional Gross-Pitaevskii equatio...
We present one-dimensional (1D) stability analysis of a recently proposed method to filter and contr...
We present a class of three-dimensional solitary waves solutions of the Gross-Pitaevskii (GP) equati...
The results of recently developed investigations, that have been carried out within the framework of...
On the basis of recent investigations, a newly developed analytical procedure is used for constructi...
On the basis of recent investigations, a newly developed analytical procedure is used for constructi...
We provide an exact analytical model of the 1D Gross-Pitäevskii equation for a composite trap, which...
We suggest a pseudospectral method for solving the three-dimensional time-dependent Gross-Pitaevskii...
The stationary solutions of the Gross-Pitaevskii equation can be divided in two classes: those which...
The possibility of the decomposition of the three-dimensional (3D) Gross–Pitaevskii equation (GPE) i...
The existence and stability of solitons in Bose-Einstein condensates with attractive interatomic int...
Two-dimensional stability of a controlled Bose-Einstein condensation state, in the form of a nonline...
Using variational and numerical solutions of the mean-field Gross-Pitaevskii equation for attractive...