Problem 12.5. Show that the Brusselator admits traveling wave solutions, cx(r0 vt) and cy(revt), for linear motion

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Problem 12.5. Show that the Brusselator admits traveling wave solutions, cx(r0 vt) and cy(revt), for linear motion on a circle, assuming periodic boundary conditions. Find the condition for a bifurcation from the thermodynamic branch to a travelling wave solution using linear stability theory. Show that the velocity, v, of the waves is a decreasing function of the wave number.

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