Find sibling node after specified node is found

How can I search for a first k sibling after m node? Basically, find
some node and then continue searching from that node.

Assuming that we have the following well-formed XML document:

<t>
    <n></n>
    <k></k>
    <m></m>
    <k></k>
</t>

then the following XPath expression:

/*/m[1]/following-sibling::k[1]

selects the first k following-sibling of the first m child of the top element of the XML document.