Auratus Cichlids change color. Oscars can Change color, there are a bunch of species that can change color. What species changed color of yours? Then I might be able to Help you. Jewel Cichlids change red when mouth fighting I had that experience pretty cool.
Your video shows a Parachromis dovii. Sometimes called a wolf cichlid or just dovii. They are from Central America. Typically grow to 14"-20" in captivity. Sometimes larger. They require very large tanks (in excess of 6 ft. and 180. gal.+) to do well over the long term. They are one of the most aggressive cichlids and over the long term, usually prove more then difficult to house with tank mates, even in very large tanks.
And yes, it is common for cichlids to change color according to mood/status, pecking order, aggression, breeding ect. Rift lake Malawi cichlids, less so in terms rapid or very fluctuating changes in color/pattern but fairly much so in Central American cichlids and in general even more so for South American cichlids.