Categories and Sub Categories in custom taxonomies….

I find and use the following code to display sub categories for default taxonomy ‘category’ on my site, but I created a custom taxonomy, and can not alter the code so that he was doing the same thing for the new taxonomy, help please

<?php

if(is_category()) {
	$subcategories = get_terms('category', 'parent='.get_query_var('cat'));

	if(empty($subcategories)) {
		$thiscat = get_term(get_query_var('cat'),'category');
		$subcategories = get_terms('category', 'parent='.$thiscat->parent.'');
	}
	if(empty($subcategories)) $subcategories = array();
	if(!empty($subcategories)) {
		echo '<ul>';

		foreach($subcategories as $subcat) {
			if(get_query_var('cat') == $subcat->term_id) $current = ' current-cat'; else $current = '';
			echo '
			<li class="cat-item cat-item-'.$subcat->term_id.$current.'">
				<a href="'.get_category_link( $subcat->term_id ).'" title="'.$subcat->description.'">'.$subcat->name.'</a>
			</li>';

		}
		echo '</ul>';
	}
}
else {
	// If no current cat query, just get the top level ones using wp_list_categories.
	?>
	<ul>
		<?php wp_list_categories('title_li=&depth=1');?>
	</ul>
	<?php
}
?>