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A $K^\alpha$-translator is a surface in Euclidean space $\r^3$ that moves bytranslations in a spatial direction and under the $K^\alpha$-flow, where $K$ isthe Gauss curvature and $\alpha$ is a constant. We classify all$K^\alpha$-translators that are rotationally symmetric. In particular, we provethat for each $\alpha$ there is a $K^\alpha$-translator intersectingorthogonally the rotation axis. We also describe all $K^\alpha$-translatorsinvariant by a uniparametric group of helicoidal motions and the translatorsobtained by separation of variables.

Translators of the Gauss curvature flow