The only way I can construct a solution is if

and

and

or any two of these is equal to -1 and the remaining is equal to 1.

The solution to the first set of equations is, for example

and

and

respectively where n, k, and p are integers.

So:

and

Since k and p have to be integral there can be no solutions of this kind.

See what the other two solution options give you.

-Dan