potato plants dying one after another

Question

The plant started to be very wilted then after a couple days, total drying out.

Answer 1

To much rain and poorly draining soil can cause root rot and or the plants can become affected with fungus and disease.
Waiting and watching is the advice I can pass on!
If they are just wilting and the days are dry moving forward, they may be able to recover.
Here are a few links.

https://www.gardeningknowhow.com/edible/vegetables/potato/how-to-grow-potatoes-when-to-plant-potatoes.htm

https://www.gardeningknowhow.com/plant-problems/environmental/rain-knocking-down-plants.htm