摘要
非线性Schr dinger方程的精确解对于理解Bose-Einstein凝聚态动力学演化有重要的作用。应用Jacobi椭圆函数展开法,求得描述Bose-Einstein凝聚态的一维Gross-Pitaevskii方程的包络周期解。在极限情况下,包络周期解可导出包络孤立波解。
The construction of exact solutions of nonlinear Schrdinger equations plays an important role in understanding the dynamic evolution of Bose-Einstein condensates.The Jacobi elliptic function expansion method is applied to construct the envelope periodic solutions to one dimensional Gross-Pitaevskii equation in Bose-Einstein condensates.The envelope periodic solutions can degenerate to the envelope solitary solutions under the limited condition.
出处
《北京大学学报(自然科学版)》
EI
CAS
CSCD
北大核心
2009年第6期931-936,共6页
Acta Scientiarum Naturalium Universitatis Pekinensis
基金
国家自然科学基金资助项目(40805022)