Remove “Continue Reading” Link From the Teaser Excerpt Only

I want to remove the “Continue Reading” link from the teaser excerpt only and not from the automatic excerpt, which filter is easily available.

This is the original code; it’s from the Showcase Template Page Template:

    <?php while ( have_posts() ) : the_post(); ?>

<?php
    if ( '' != get_the_content() )
        get_template_part( 'content', 'intro' );
?>

<?php endwhile; ?>

Here is the Intro:

<div class="entry-content">
    <?php the_content(); ?>
    <?php wp_link_pages( array( 'before' => '<div class="page-link"><span>' . __( 'Pages:', 'mytheme' ) . '</span>', 'after' => '</div>' ) ); ?>
    <?php edit_post_link( __( 'Edit', 'mytheme' ), '<span class="edit-link">', '</span>' ); ?>
</div><!-- .entry-content -->

–>

Change standard text for all excerpts:

function custom_excerpt_more($more) {
   global $post;
   $more_text="...";
   return '… <a href="'. get_permalink($post->ID) . '">' . $more_text . '</a>';
}
add_filter('excerpt_more', 'custom_excerpt_more');

Create your own excerpt function:

// Rafael Marques Excerpt Function ;)
function rm_excerpt($limit = null, $separator = null) {

    // Set standard words limit
    if (is_null($limit)){
        $excerpt = explode(' ', get_the_excerpt(), '15');
    } else {
        $excerpt = explode(' ', get_the_excerpt(), $limit);
    }

    // Set standard separator
    if (is_null($separator)){
        $separator="...";
    }

    // Excerpt Generator
    if (count($excerpt)>=$limit) {
        array_pop($excerpt);
        $excerpt = implode(" ",$excerpt).$separator;
    } else {
        $excerpt = implode(" ",$excerpt);
    }   
    $excerpt = preg_replace('`\[[^\]]*\]`','',$excerpt);
    echo $excerpt;
}

Use <?php rm_excerpt(); ?> when you want display custom excerpt. First value set words limit and second value set separator. Example: <?php rm_excerpt(10,' (...)'); ?>. To create separate link “read more”, insert <a href="https://wordpress.stackexchange.com/questions/83160/<?php the_permalink(); ?>" title="<?php the_title(); ?>">Read More?</a>