Bose-Einstein凝聚态中的一维Gross-Pitaevskii方程的包络周期解和孤立波解  

Envelope Periodic and Solitary Solutions to One Dimensional Gross-Pitaevskii Equation in Bose-Einstein Condensates

作　　者：高斌[1,2] 刘式适[1] 付遵涛[1] 刘式达[1] 

机构地区：[1]北京大学物理学院,北京100871 [2]玉溪师范学院物理系,玉溪653100

出　　处：《北京大学学报（自然科学版）》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)

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 Schrdinger 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.

关 键 词：GROSS-PITAEVSKII方程 JACOBI椭圆函数 包络周期解 包络孤立波解 

分 类 号：O175.29[理学—数学]