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In this work, we study a class of rotational surfaces in the pseudo-Euclideanspace $\mathbb{E}_2^4$ whose profile curves lie in two-dimensional planes. Wesolve the differential equation that characterizes the rotational surfaces withzero mean curvature to determine the profile curves of such rotationalsurfaces. Then, we give some explicit parametrization of maximal rotationalsurfaces and the timelike surfaces with zero mean curvature in$\mathbb{E}_2^4$.

On rotational surfaces with zero mean curvature in the pseudo-Euclidean space $\mathbb{E}_2^4$