Star Trek Discovery stile Warp exit. Stargate Hyperspace Window

Hey Im currently working on a Scifi Crossover show and wanted to know how I could make ships that exit warp have this trail behind them like theyhave in star trek discovery. https://youtu.be/YaWrUS-A5Sc?t=232 looking for something like this. I know I can do it in after effects but I want to do most things in blender.

The other thing Iam looking for is some ideas on creating a hyperspace window like we see in stargate sg 1 and atlantis. https://www.youtube.com/watch?v=jqyC-MI3wYU

Looking forward to the answers and thank you very much.