Record yourself onto a tape with decent spaces between sentences so that you can pre-empt what comes next before you hear it. And listen to it at bedtime - or go over it again at bedtime.
Other memory tricks are to visualise a picture to go with the dialogue - and if there's a bit you keep getting stuck on - make it a funny picture that you will remember because of its humour and it will give you big clues as to what words you are looking for.
Enlist the help of a friend to check you on your revision!
I've never had to learn a monologue though, so maybe my tips are rotten ones?
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