Question: How to change variables in a PDE using Maple?


I have the following equation

diff(m(t, x), t)+diff((u(t, x)^2-(diff(u(t, x), x))^2)*m(t, x), x) = 0

How I can change it by using this transform

m(t,x)=u(t,x)-diff(u(t, x), x,x)

to get a new PDE only with u(t,x)

then I need to change u(t,x) by


where y=x−at

How I can do this in Maple?

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