Question: How do I write a system of PDE's for Lie Symmetry Analysis?

Dear all, 

I am new to Maple, bit I am getting familiar with it. My current interest is in Lie Symmetry analysis of systems of PDE's such as mass, momentum, and energy balance equations in fluid dynamics, for example.

I have carried out a Lie Symmetry analysis for a single PDE's -- attached herewith. I know it to be correct because it is already published. What I want to do now is how to write down more than 1 PDE's and carry out a similar Lie Symmetry analysis to this system of PDE's. I have been unable to find an example on the web.

Can you advise please - especially how to enter a systems of PDE's as apposed to just one PDE.

Thanks

Nadeem Malik

Sheet9.mw

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