应用数学2011，Vol.24Issue(2)：290-295,6.
Nagumo方程行波系统的定性分析及其有界行波解
Qualitative Analysis of Traveling Wave System of Nagumo Equation and its Bounded Traveling Wave Solutions
摘要
Abstract
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.关键词
Nagumo方程/行波解/定性分析/LS解法/CPP解法Key words
Nagumo equation/Traveling wave solution/Qualitative analysis/ LS method/CPP method分类
数理科学引用本文复制引用
李向正,张卫国,原三领..Nagumo方程行波系统的定性分析及其有界行波解[J].应用数学,2011,24(2):290-295,6.基金项目
国家自然科学基金资助项目(10871129),上海市重点学科建设计划(S30501),上海市自然科学基金项目(10ZR1420800),河南科技大学科研创新能力培育基金项目(2010CZ0016) （10871129）
