Does this kind of poetry have a name?

[Charlene F]

Where the end words all rhyme....
(it's not my poem but I like it...it's clever)

THE NEW ROMANTICS

What an interesting perfume, my darling, you wear;
Sour milk and wet nappies - the scent of childcare -
With the cigarette smoke drifting up through your hair
It takes my mind back to that pubs' acrid air.
Remember we snogged on the urine soaked stair?
Maybe not - you were sloshed - only semi-aware....
I found cash in your bag for just one taxi fare
And it seemed at the time only fair we should share.
Back to my place of course - I'd a bedroom to spare -
Where you drunkenly stripped to your stained underwear,
Danced around me and wiggled your pert derriere
Then threw up and passed out in my threadbare armchair.
Together five years and you know I still care
I've got cash in my pocket, let's go out somewhere....
If the bird's in nextdoor we can dump the kids there
Make believe we're not married and have an affair....

Martin Fairclough on 4uall2c.com
The end rhymes are all the same rhyme....well it is in UK english, I don't know if is in US english :-)