Time-Dependent Solutions to the Fokker-Planck Equation of Maximum Reduced Air-Sea Coupling Climate Model

The time-dependent solution of reduced air-sea coupling stochastic-dynamic model is accurately obtained by using the Fokker-Planck equation and the quantum mechanical method. The analysis of the time-dependent solution suggests that when the climate system is in the ground state, the behavior of the system appears to be a Brownian movement, thus reasoning the foothold of Hasselmann's stochastic climatic model;when the system is in the first excitation state, the motion of the system exhibits a form of time-decaying,or under certain condition a periodic oscillation with the main period being 2.3 yr. At last, the results are used to discuss the impact of the doubling of carbon dioxide on climate.