Various Simple Solutions of the Barotropic Vorticity Equation

Abstract

 The Jacobian term in the barotorpic vorticity equation vanishes, if one of following conditions is satisfied; (1) Δ²ψ = F(ψ) (2) Δ²ψ = F(t) (3) Δ²ψ and ψ are functions of one same space variable. All simple solutions ever obtained satisfy one of these conditions. We discussed these solutions from unified standpoint and remarked existence of certain solutions which escaped the attention of meteorogists.