简化Ostrovsky方程的周期尖波解

The Periodic Cusp Wave Solutions of the Reduced Ostrovsky Equation

用微分方程动力系统理论研究了简化Ostrovsky方程的周期尖波解.在一些参数条件下画出了该方程平面系统的相图,根据相图找到了周期尖波的存在条件,求出了周期尖波的解.在特定的参数条件下用数学软件M ap le得到了周期尖波的平面模拟图.

The dynamical system theory of ordinary differential equations is employed for the periodic cusp wave solutions of the reduced Ostrovsky equation. The bifurcation phase portraits are drawn under some parameter conditions. The parameter conditions under which the periodic cusp waves appear have been found, and their representations have been obtained. By using Maple, the planar graphs of the periodic cusp waves are shown under the condition of some parameters.