Ktesias wrote of the battle using Persian sources. Though he's considered pretty unreliable.

While the sources are all from greek authors, we have 6 different sources about the battle with Herodotos, Diodoros, and Ktesias all writing within 100 years of the battle happening.

What we can deduce from these many sources and most of them in living memory of the battle is that the battle likely happened and was a real historic event.

We've got nothing like that with the exodus story. There's not a second author detailing the exodus or making even a vague reference to it.