Variational iteration solving method for El Niño phenomenon atmospheric physics of nonlinear model

A class of El Niño atmospheric physics oscillation model is considered.The El Niño atmospheric physics oscillation is an abnormal phenomenon involved in the tropical Pacific ocean-atmosphere interactions.The conceptual oscillator model should consider the variations of both the eastern and westem Pacific anomaly patterns.An El Niño atmospheric physics model is proposed using a method for the variational iteration theory.Using the variational iteration method, the approximate expansions of the solution of corresponding problem are constructed.That is, firstly, introducing a set of functional and accounting their variationals, the Lagrange multiplicators are counted, and then the variational iteration is defined, finally, the approximate solution is obtained.From approximate expansions of the solution, the zonal sea surface temperature anomaly in the equatorial eastern Pacific and the thermocline depth anomaly of the seaair oscillation for El Niño atmospheric physics model can be analyzed.El Niño is a very complicated natural phenomenon.Hence basic models need to be reduced for the sea-air oscillator and are solved.The variational iteration is a simple and valid approximate method.