Meltdowns after school

I am a mum of six. My three youngest all have ASD and have terrible trouble with meltdowns after school. There is a lot of anecdotal evidence of the ‘delay effect’ for children on the spectrum. That being that they hold themselves together and show no behaviour of concern at school but ‘meltdown’ when they return home. My question: is there any research evidence that this exists and what can be done to help?