Spacelike Weingarten Surfaces in R3 and the 1 Sine-Gordon EquationU

In this paper we will establish a relation between spacelike Weingarten surfaces with condition Kq2mHsm2ql 2 in R13 and solutions of the sine-Gordon equation. Moreover, we will give a method to construct new spacelike Weingarten surfaces from a given spacelike Weingarten surface in R13 by B¨acklund transforma - tion.