Abstract: Under the condition of u =0,solitary wave solution is obtained to a type of vortex,which is then compared with the one to the general vortex. It is found that the assumption of u =0 increases the nonlinearity of the model equations and maintains the vertical transfer of ω so that the forcing effects of temperature advection and diabatic heating (Q₁ and Q₂) can be shown through channels of local temperature change and vertical motions.