TOHOKU MATHEMATICAL JOURNAL, cilt.74, sa.2, ss.263-286, 2022 (SCI-Expanded)
Consider the Lorentz-Minkowski 3-space L-3 with the metric dx(2) + dy(2) - dz(2) in canonical coordinates (x, y, z). A surface in L-3 is said to be separable if it satisfies an equation of the form f (x) + g (y) + h (z) = 0 for some smooth functions f , g and h defined in open intervals of the real line. In this article we classify all zero mean curvature surfaces of separable type, providing a method of construction of examples.