# 菲茨休 - 南云方程

${\displaystyle {\frac {\partial u}{\partial t}}=D*{\frac {\partial ^{2}u}{\partial ^{2}x^{2}}}-u*(1-u)*(a-u)}$

${\displaystyle u(x,t)={1/2-(1/2)*\tanh((1/4)*{\frac {\sqrt {2*x}}{{\sqrt {(}}d)}}+(1/4)*t)}}$

u(x, t) = 1/2+(1/2)*tanh(_C1+(1/4)*sqrt(2)*x-(1/4)*t)

u(x, t) = 1/2+(1/2)*tanh(_C1-(1/4)*sqrt(2)*x-(1/4)*t)

1/2-(1/2)*tanh(_C1-(1/4)*sqrt(2)*x+(1/4)*t)

u(x, t) = 1/2-(1/2)*tanh(_C1+(1/4)*sqrt(2)*x+(1/4)*t)

 File:1-Fitzhugh Nagumo plot 4.jpg
 File:1-Fitzhugh Nagumo plot 6.jpg
 File:1-Fitzhugh Nagumo plot 8.jpg
 File:1-Fitzhugh Nagumo plot 11.jpg

## 参考文献

1. ^ Graham W. Griffiths William E.Shiesser Traveling Wave Analysis of Partial Differential Equations p147-172 Academy Press
2. ^ Graham W. Griffiths William E.Shiesser Traveling Wave Analysis of Partial Differential Equations p436 Academy Press
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