物理学报
物理學報
물이학보
2013年
10期
10-13
,共4页
动力系统方法%孤立波解%周期波解%扭波解
動力繫統方法%孤立波解%週期波解%扭波解
동력계통방법%고립파해%주기파해%뉴파해
dynamical systems method%solitary wave solution%periodic wave solution%kink wave solution
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.
利用動力繫統方法研究一維Tonks-Girardeau原子氣區域中Gross-Pitaevskii (GP)方程簡化模型的一些精確行波解以及這些精確行波解的動力學行為,研究繫統的參數對行波解的動力學行為的影響.在不同的參數條件下,穫得瞭一維Tonks-Girardeau原子氣區域中GP方程簡化模型的六箇行波解的精確參數錶達式.
이용동력계통방법연구일유Tonks-Girardeau원자기구역중Gross-Pitaevskii (GP)방정간화모형적일사정학행파해이급저사정학행파해적동역학행위,연구계통적삼수대행파해적동역학행위적영향.재불동적삼수조건하,획득료일유Tonks-Girardeau원자기구역중GP방정간화모형적륙개행파해적정학삼수표체식.
@@@@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.