Design Pattern - Chess Piece Movement

I am working on a project building chess game in java. For the piece movement (without knight):

• The pawn can move only 1 cell horizontally.

• The rook can move horizontally and vertically by any number of cells.

• The queen can move diagonally, horizontally and vertically by any number of cells.

The way I am implementing it right now is getValidMove() will call all the Valid Move (getValidMoveSouth(x,y,cells), getValidMoveNorth(x,y,cells), etc) methods.

The param cells are for the number of cells a piece is able to move. So for the pawn, the param cells will be 1. Inside of each Valid Move methods will be a loop to the param cells.

I wonder is there any elegant way to implement it Java?