Question: Changing the variables

Let's consider nonlinear partial differential equations as follows:

It can be reduced into the nonlinear ordinary differential equation

by using the transformation as follows:

How to write a code for transforming the PDE to ODE by Maple?

For example; let's consider the following PDE

by using the transformation above we get the following ODE. 


tr1:={x=mu*t + xi,u(x,t)=U(xi) };
PDE := diff(u(x,t),t) +p*u(x,t)*diff(u(x,t),x) +q* diff(u(x,t),x$3)=0;


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