Reduced Ostrovsky方程的周期圈波解  

The Periodic Loop Solutions of the Reduced Ostrovsky Equation

作　　者：谢绍龙[1] 洪晓春[2] 

机构地区：[1]玉溪师范学院商学院数学系,中国玉溪653100 [2]曲靖师范学院数学与信息科学学院,中国曲靖655000

出　　处：《湖南师范大学自然科学学报》2009年第3期13-16,共4页Journal of Natural Science of Hunan Normal University

基　　金：国家自然科学基金资助项目(10571062);云南省科技厅自然科学基金资助项目(2008ZC153M)

摘　　要：用微分方程动力系统理论研究Reduced Ostrovsky方程的周期圈波.在一些参数条件下画出了该方程平面系统的相图,根据相图找到周期圈波解的存在条件,求出了参数形式的周期圈波解.在特定的参数条件下用数学软件Mathematica得到周期圈波的平面模拟波形图.By using the dynamical system theory of ordinary differential equations, the periodic loop solutions of the Reduced Ostrovsky equation are investigated. The bifurcation phase portraits are drawn under the some parameter conditions. The parameter conditions which the existence of periodic loop solutions are found, and their parameter representations are obtained. The planar graphs of the periodic loop solutions are shown under the some parameters by use of softwere Mathematica.

关 键 词：OSTROVSKY方程 周期圈波 开轨线 

分 类 号：O175.24[理学—数学]