arrayOf (which translates to a Java Array) is one option. This gives you a mutable, fixed-sized container of the elements supplied:
val arr = arrayOf("January", "February", "March")
that is, there's no way to extend this collection to include more elements but you can mutate its contents.
If, instead of fixed-size, you desire a variable sized collection you can go with arrayListOf or mutableListOf (mutableListOf currently returns an ArrayList but this might at some point change):
val arr = arrayListOf("January", "February", "March")
arr.add("April")
Of course, there's also a third option, an immutable fixed-sized collection, List. This doesn't support mutation of its contents and can't be extended. To create one, you can use listOf:
val arr = listOf("January", "February", "March")