“…In a recent paper [1], Janda investigated the solutions to a 2D model based on the equations of dissipationless Hall magnetohydrodynamics (MHD). The model (also previously studied by Litvinenko [2] and Litvinenko & McMahon [3]) involves the coupling between the incompressible fluid velocity V = z × ∇φ + V z z, which is expressed in terms of the electrostatic potential φ(x, y, t) = γ(t) xy and the parallel fluid velocity V z (x, y, t) = β 1 (t) x 2 + β 2 (t) y 2 , and the magnetic field B = ∇ψ × z + B z z, which is expressed in terms of the parallel vector potential ψ(x, y, t) = α 1 (t) x 2 − α 2 (t) y 2 and the parallel magnetic field B z (x, y, t) = b(t) x y. Here, the Hall MHD fields (φ, V z , ψ, B z ) are dimensionless and (x, y) have been normalized to a characteristic length scale L. The time-dependent coefficients (α 1 , α 2 , β 1 , β 2 , b) satisfy the coupled ordinary differential equations [1] α 1 − 2γ α 1 = 2b (d i α 1 − d 2 e β 1 ), (1)…”