Matter-wave solutions of Bose–Einstein condensates with three-body interaction in linear magnetic and time-dependent laser fields

doi:10.1088/1674-1056/21/7/070504

中国物理B ›› 2012, Vol. 21 ›› Issue (7): 70504-070504.doi: 10.1088/1674-1056/21/7/070504

Matter-wave solutions of Bose–Einstein condensates with three-body interaction in linear magnetic and time-dependent laser fields

Etienne Wamba^a, Timoléon C. Kofané^a, Alidou Mohamadou^{b c}

a Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaound? I, P.O. Box 812, Yaound?, Republic of Cameroon;
b Condensed Matter Laboratory, Department of Physics, Faculty of Science, University of Douala, P.O. Box 24157, Douala, Republic of Cameroon;
c The Abdus Salam International Centre for Theoretical Physics, P.O. Box 586, Strada Costiera 11, I-34014, Trieste, Italy

收稿日期:2011-12-07 修回日期:2012-02-13 出版日期:2012-06-01 发布日期:2012-06-01

Matter-wave solutions of Bose–Einstein condensates with three-body interaction in linear magnetic and time-dependent laser fields

Etienne Wamba^a)†, Timolėon C. Kofanė^a), and Alidou Mohamadou^b)c)

a Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaound? I, P.O. Box 812, Yaound?, Republic of Cameroon;
b Condensed Matter Laboratory, Department of Physics, Faculty of Science, University of Douala, P.O. Box 24157, Douala, Republic of Cameroon;
c The Abdus Salam International Centre for Theoretical Physics, P.O. Box 586, Strada Costiera 11, I-34014, Trieste, Italy

Received:2011-12-07 Revised:2012-02-13 Online:2012-06-01 Published:2012-06-01
Contact: Etienne Wamba E-mail:wambaetienne@yahoo.fr

摘要/Abstract

摘要： We construct, through a further extension of the tanh-function method, the matter-wave solutions of Bose--Einstein condensates (BECs) with a three-body interaction. The BECs are trapped in a potential comprising the linear magnetic and the time-dependent laser fields. The exact solutions obtained include soliton solutions, such as kink and antikink as well as bright, dark, multisolitonic modulated waves. We realize that the motion and the shape of the solitary wave can be manipulated by controlling the strengths of the fields.

关键词: extended tanh-function method, Gross--Pitaevskii equation, cubic--quintic nonlinearity, soliton solutions

Abstract: We construct, through a further extension of the tanh-function method, the matter-wave solutions of Bose--Einstein condensates (BECs) with a three-body interaction. The BECs are trapped in a potential comprising the linear magnetic and the time-dependent laser fields. The exact solutions obtained include soliton solutions, such as kink and antikink as well as bright, dark, multisolitonic modulated waves. We realize that the motion and the shape of the solitary wave can be manipulated by controlling the strengths of the fields.

Key words: extended tanh-function method, Gross--Pitaevskii equation, cubic--quintic nonlinearity, soliton solutions

中图分类号: (Solitons)

05.45.Yv

03.75.Lm (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations) 03.75.Kk (Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)

Etienne Wamba, Timoléon C. Kofané, Alidou Mohamadou . Matter-wave solutions of Bose–Einstein condensates with three-body interaction in linear magnetic and time-dependent laser fields[J]. 中国物理B, 2012, 21(7): 70504-070504.

Etienne Wamba, Timolėon C. Kofanė, and Alidou Mohamadou . Matter-wave solutions of Bose–Einstein condensates with three-body interaction in linear magnetic and time-dependent laser fields[J]. Chin. Phys. B, 2012, 21(7): 70504-070504.

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Matter-wave solutions of Bose–Einstein condensates with three-body interaction in linear magnetic and time-dependent laser fields

Matter-wave solutions of Bose–Einstein condensates with three-body interaction in linear magnetic and time-dependent laser fields

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