Analytical Solution for Large-Scale Rotating Fluid Layer with Thermal Convection

Abstract

A soliton-like solution is obtained by using the auxiliary Riccati equation method for the evolution equation describing the deformation of the upper surface of a large-scale rotating fluid layer with the thermal convection. This solution reveals that the long-lived structure of the rotating fluid layer depends on the nonlinear term associated with the beta effect and the diffusion term resulted from the thermal convection.