Did Iranians fight in the Battle of Karabala? (As Imam Hussein's soldiers)?

As it is considered as a famous Islamic epic event (especially for Shias), in those days of Mohram, Imam Hussein (a.s.) and his soldiers martyred in the battle of Karbala… and the tenth day of Moharam is called Ashura… see this tadabbor.org article. I was wondering if there was any Iranian person (s) during that even. (I mean as a soldier(s) of Imam Hussein)? *Note: please, present your claim by reference.*