[jQuery] need help with logic

[efet]

I have search page. At this page, when user enters a value to the form
field and clicks submit, the value is posted and server's results
printed inside main div. Now, I want to add search form to main page
and so when user enters a value to the form field and clicks submit,
he is redirected to search page and the entered value is posted and
server's results printed inside main div. Is this possible? If yes,
how?