Bright and dark soliton solutions in growing Bose-Einstein condensates

This paper develops the Hirota method carefully for applying into the growing model of quasi-one-dimensional Bose Einstein condensations with attractive and repulsive interaction, respectively. After a tedious calculation it obtains the exact bright and dark soliton solutions analytically. It shows...

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Bibliographic Details
Published inChinese physics B Vol. 19; no. 7; pp. 79 - 85
Main Author 宋伟为 李秋艳 李再东 傅广生
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.07.2010
Subjects
Amplitudes
Asymptotic properties
Condensing
Elastic scattering
Hirota方法
Mathematical analysis
Mathematical models
Phase velocity
Solitons
双孤子解
增长模型
孤子碰撞
时间依赖性
渐近行为
玻色爱因斯坦凝聚
相互作用
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Summary:This paper develops the Hirota method carefully for applying into the growing model of quasi-one-dimensional Bose Einstein condensations with attractive and repulsive interaction, respectively. After a tedious calculation it obtains the exact bright and dark soliton solutions analytically. It shows that the growing model has the important effect on the soliton amplitude and the time-dependent potential only contributes to the phase and phase velocity. A detailed analysis for the asymptotic behaviour of two-soliton solutions shows that the collision of two soliton is elastic.
Bibliography:O51
11-5639/O4
bright soliton, dark soliton, growing Bose-Einstein condensates
TV131.2
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1674-1056
2058-3834
DOI:10.1088/1674-1056/19/7/070503