The FritzHugh-Nagomo equation occurs in many apps such as biology, genetics and heat transfer. In the 1-D case, it can be written as

Question

du/dt = d^2/dx^2 + u(u-1)(λ-u)

where λ is constant. Show that this eqn supports a travelling wave

u(x,t) =(Ae^n1 + λBe^n2)/(Ae^n1 + Be^n2 + k)

where

n1 = (1/λ - λ)t +- x/√2
n2 = λ(λ/2 - 1)t +- λx/√2

and A,B and k are orbitrary constant.

Answer 1

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