Reduced Ostrovsky方程的周期圈波解

The Periodic Loop Solutions of the Reduced Ostrovsky Equation

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.