Complete 3-dimensional $\lambda$-translators in the Minkowski space $\mathbb{R}^{4}_{1}$

In this paper, we obtain the classification theorem for 3-dimensional complete space-like $\lambda$-translators $x:M^{3} \rightarrow \mathbb{R}^{4}_{1}$ with constant norm of second fundamental form and $f_{4} = \sum_{i,j,k,l} h_{ij} h_{jk} h_{kl} h_{li}$ $h_{ij}$ being components in Minkowski space $\mathbb{R}^{4}_{1}$.