Evaluating couple PDE with Homotopy Analysis Method

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Can some one provide me a simple code for Homotopy Analysis Method in Maple? I have coupled nonlinear PDEs and have calculated the first order answers on paper. I need the mth order answer and I don't know how to write a code in Maple to evaluate it. Kindly guide me, as I can solve my problem.
Or could anyone please give me any reference about it?
Thanks.

P.s:
Here are my equations: https://ibb.co/daJDQF