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中文摘要：
本文对Nagumo方程的行波系统进行了定性分析，该系统存在一端连接鞍点的有界异宿轨，进而选择奇点为鞍点的平面线性自治系统，利用该平面自治系统轨线向径的斜率，根据齐次平衡原则，构造出了Nagumo方程行波系统的行波解．其次Nagumo方程的行波系统还存在着对应中心周围闭轨的周期解，因而提出新的CPP解法，求出了对应的周期解．
英文摘要：
The qualitative analysis on Nagumo equation＇s traveling system has been carried through in this paper. There is a bounded heteroclinic orbit whose one end connects with a saddle point for the traveling wave system. Then a linear plane autonomous system whose singular point is a saddle point is chosen,by means of the system orbit vector＇s slope,and according to homogeneous balance principle,the traveling wave solutions of Nagumo equation＇s traveling system are constructed. Second, there are also periodic solutions of traveling wave system of Nagumo equation corresponding the closed orbits near the center,and then we propose a new method called CPP method,by which the period solutions of the system are obtained.
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