  This paper presents two new Weierstrass elliptic function solutions of the
projective Riccati equations and four conversion formulas for converting the
Weierstrass elliptic functions to the hyperbolic and trigonometric functions.
The Weierstrass elliptic function solutions to the projective Riccati equations
and the conversion formulas are used to propose the called Weierstrass type
projective Riccati equation expansion method. The Weierstrass elliptic function
solutions, the solitary wave and the periodic wave solutions of the KdV
equation are constructed by using the proposed method. The solitary wave like
and the periodic wave solutions of the KdV equation are shown through some
figures.
