hope
If I hope for something, I want it to happen, but I am not sure that it will, and I can do nothing about it.

I hope she writes to me soon.
I hope they find the lost child soon.
I hope we don't have a war.

wish
Wishing  (usually,) is wanting something that is impossible, or that doesn't seem
                probable---being sorry that things are not different.

I wish I could fly.
I wish I had more money.
I. wish she would stop singing.

I hope it stops raining soon.  (=It may or may not stop; I would like it to stop).
I wish it would stop raining.  (= It doesn't look as if it's going to stop; I feel sorry about that.)
I hope you have a good vacation.       (= I want it to happen, but it is not under my control.)
 

HOPE structures
hope for + object        I'm  hoping for a letter from Eric.
hope      + infinitive      I hope to still be here next year.
hope      + that-clause  I hope that they get here soon.
hope so                       Will the.boys give us flowers on Women' s Day?      I hope so.

WISH structures
subject + wish + clause: subject + past tense
         I wish I was better-looking.  (were, if formal)
         I wish I spoke Cantonese.
         I wish something interesting would happen.
subject + wish +.clause: subject + past perfect
         I wish I had gone on the camping trip.
         I wish I hadn't said that. // I wish I'd known earlier.

I          I can get a good seat for the concert.
I          everybody would get here on time.
She           to become a fashion model.
I          that you won't forget my birthday.
I 'll bet he         he hadn't forgotten her birthday.
We         we didn't have so much homework.
We         we won't have too much homework next semester.
He's          to study botany in graduate school.
I           this class would end.
We           this class will never end.   We     this class would never end.