I heard some scriptures from a movie called 50 First Dates. :D
Quote:
Henry: I have a question. Do you rememebr me?
Lucy: (Pondering for a while) No. 
Henry: (Frustrated) 
Lucy: What's your name?
Henry: Henry.
Lucy: I have something to show you? Will you come with me?
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Will you come with me?
Would you come with me?
Could you come with me?
Can you come with me?
In this context, I do think all are considered the same, from a point of a language learner. You
might say would and could are more polite forms or more indirect as to ask for a request.
What do you think, teachers or learners? :wink:
Modals 
Linear Mode
