一维Tonks-Girardeau原子气区域中Gross-Pitaevskii方程简化模型的精确行波解  

Exact traveling wave solutions for simplified model of Gross-Pitaevskii equation in the 1D-Tonks-Girardeau gas

作　　者：徐园芬[1] 

机构地区：[1]浙江万里学院基础学院,宁波315101

出　　处：《物理学报》2013年第10期10-13,共4页Acta Physica Sinica

基　　金：浙江省自然科学基金(批准号:LY12E05005);浙江省科学技术厅一般项目(批准号:2012C21084)资助的课题~~

摘　　要：利用动力系统方法研究一维Tonks-Girardeau原子气区域中Gross-Pitaevskii(GP)方程简化模型的一些精确行波解以及这些精确行波解的动力学行为,研究系统的参数对行波解的动力学行为的影响.在不同的参数条件下,获得了一维Tonks-Girardeau原子气区域中GP方程简化模型的六个行波解的精确参数表达式.By using a dynamical system method,in this paper studied are some exact traveling wave solutions and dynamic behaviors of these traveling wave solutions for simplified model of Gross-Pitaevskii（GP）equation in the 1D-Tonks-Girardeau gas.The effects of the behaviors on the parameters of the systems are also studied.Under different parametric conditions,six exact explicit parametric representations of the traveling wave solutions for simplified model of GP equation in the 1D-Tonks-Girardeau gas are given.

关 键 词：动力系统方法 孤立波解 周期波解 扭波解 

分 类 号：O175[理学—数学]