_searchresults.html.erb

<% @searchresults.each do |movie| %>
  Found: <%= movie.name %> | <%= movie.id %><br />
<% end %>

index.html.erb

<center><h1>My movies</h1></center>
<%= form_tag movies_path, :method => :get, :remote => true do %>
  <p>
    <%= search_field_tag :search, params[:search] %>
    <%= submit_tag "Search", :name => nil %>
  </p>
<% end %>
<div id="searchresults">
<% if not @searchresults.nil? %>
  <%= render @searchresults %>
<% end %>
</div>

<hr>
<%= render 'layouts/movies' %>

index.js.erb

$("#searchresults").html("<%= escape_javascript(render(@searchresults)) %>");

movies_controller.rb

class MoviesController < ApplicationController
  
  def index
    @title = "My movies"
    @movies = Movie.all
    if params[:search]
      Tmdb.api_key = "XXX"
      @searchresults = TmdbMovie.find(:title => params[:search], :expand_results => false)
    end
  end
  
end