吴琼,潘超红.Cutoff对FitzHugh-Nagumo方程行波解最小波速的影响[J].南华大学学报(自然科学版),2021,(1):49~51, 63.[WU Qiong,PAN Chaohong.The Influence of the Cutoffto the Minimal Speed of the Traveling Wave Solution for the FitzHugh-Nagumo Equation[J].Journal of University of South China(Science and Technology),2021,(1):49~51, 63.]
Cutoff对FitzHugh-Nagumo方程行波解最小波速的影响
The Influence of the Cutoffto the Minimal Speed of the Traveling Wave Solution for the FitzHugh-Nagumo Equation
投稿时间:2020-09-02  
DOI:10. 19431/ j. cnki. 1673-0062. 2021. 01. 007
中文关键词:  FitzHugh-Nagumo方程  cutoff  最小波速
英文关键词:FitzHugh-Nagumo equation  cutoff  minimal speed
基金项目:国家自然科学基金项目(11801263);湖南省自然科学基金项目(2018JJ3418)
作者单位E-mail
吴琼 南华大学 数理学院,湖南 衡阳421001  
潘超红 南华大学 数理学院,湖南 衡阳421001 pan.ch@mail.scut.edu.cn 
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中文摘要:
      研究cutoff对FitzHugh-Nagumo方程行波解最小波速的影响。对三个不同边界层行波解的光滑匹配,获得了与ε相关的Δc的精确表达式。
英文摘要:
      The influence of cutoff on the minimum speed of the traveling wave solution of the FitzHugh-Nagumo equation is studied. Through the smooth matching of the traveling wave solutions from three different boundary layers, we obtained the explicit expression of Δc which is relate to the parameter ε.
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