Assuming String a and b:
a += b
a = a.concat(b)
Under the hood, are they the same thing?
Here is concat decompiled as reference. I'd like to be able to decompile the + operator as well to see what that does.
public String concat(String s) {
    int i = s.length();
    if (i == 0) {
        return this;
    }
    else {
        char ac[] = new char[count + i];
        getChars(0, count, ac, 0);
        s.getChars(0, i, ac, count);
        return new String(0, count + i, ac);
    }
}