You can either use array declaration or array literal (but only when you declare and affect the variable right away, array literals cannot be used for re-assigning an array).

For primitive types:

int[] myIntArray = new int[3]; // each element of the array is initialised to 0
int[] myIntArray = {1, 2, 3};
int[] myIntArray = new int[]{1, 2, 3};

// Since Java 8. Doc of IntStream: https://docs.oracle.com/javase/8/docs/api/java/util/stream/IntStream.html

int [] myIntArray = IntStream.range(0, 100).toArray(); // From 0 to 99
int [] myIntArray = IntStream.rangeClosed(0, 100).toArray(); // From 0 to 100
int [] myIntArray = IntStream.of(12,25,36,85,28,96,47).toArray(); // The order is preserved.
int [] myIntArray = IntStream.of(12,25,36,85,28,96,47).sorted().toArray(); // Sort 

For classes, for example String, it's the same:

String[] myStringArray = new String[3]; // each element is initialised to null
String[] myStringArray = {"a", "b", "c"};
String[] myStringArray = new String[]{"a", "b", "c"};

The third way of initializing is useful when you declare an array first and then initialize it, pass an array as a function argument, or return an array. The explicit type is required.

String[] myStringArray;
myStringArray = new String[]{"a", "b", "c"};

This is correct.

A[] a = new A[4];

...creates 4 A references, similar to doing this:

A a1;
A a2;
A a3;
A a4;

Now you couldn't do a1.someMethod() without allocating a1 like this:

a1 = new A();

Similarly, with the array you need to do this:

a[0] = new A();

...before using it.

Arrays in Java are a fixed size, determined when you create them. As such, they have no push methods.

It sounds like you want a List instead, most likely an ArrayList<String>. Lists have an add function for adding new elements.

The Java Collections trail has more information about the various types of collections (List, Set, and Map).

Lists and Sets work with Java's for each operator:

List<String> myList = new ArrayList<String>();
//List<String> myList = new LinkedList<String>();

myList.add("One");
myList.add("Two");

// Because we're using a Generic collection, the compiler
// inserts a cast on the next line for you
for (String current : myList) {
    // This section happens once for each elements in myList
    System.out.println(current);
}
// should print "One" and "Two" (without quotes) on separate lines