Complete $3$-dimensional $\lambda$-translators in the Minkowski space ${\mathbb{R}}_1^4$

In this paper, we obtain the classification theorem for three-dimensional complete space-like $\lambda$-translators $x:M^{3} \rightarrow \mathbb R^{4}{1}$withconstantnormofthesecondfundamentalformandconstant$f{4}$intheMinkowskispace$\mathbb R^{4}_{1}$.