according to your 2nd piece of code you’re looking for the loop-search.php.
If you’re sure it’s using the content-search though change this line:
<section class="entry">
<?php
the_excerpt();
?>
</section><!-- /.entry -->
to
<section class="entry">
<?php
the_content();
?>
</section><!-- /.entry -->
or add more detail to the content:
the_content( 'Continue reading ' . get_the_title() );