The equation has both gain and loss terms, and a small diffusion term. As a result, integrals of density of probability, momentum, and angular momentum are not conserved. The equation has stable (steady state or rotating) solutions when 0.23 < ϵ < 0.53 (for values of other parameters specified below). For smaller ϵ, the solution disperses and tends to zero, for larger ϵ it expands infinitely.