Study for the Sea-Air Oscillator Model of Decadal Variations in Subtropical Cells and the Sea Surface Temperature (SST) of Equatorial Pacific

Abstract

A time delay equation for the sea‐air oscillator model is studied. The aim is to create an asymptotic solving method of nonlinear equation for the sea‐air oscillator model. Employing the method of homotopic mapping, the approximation solution of corresponding problem is studied. This homotopic method is an approximate analytic method, which can be used for further analyzing other behavior of the sea surface temperature anomaly of the atmosphere‐ocean oscillator model.

Preface with a Biography of Professor Jiaqi Mo

“…By establishing moving coordinate frame, he got valid asymptotic solutions of a class of boundary value problem of elliptic equations [32][33][34][35][36][37]. Prof. Mo has successfully applied the theory and methods in singular perturbation to study mathematical models from biomathematics [17,38,39], El Niño vibrator [40][41][42][43][44], atmospheric science [45][46][47][48][49], soliton wave [50][51][52][53][54][55] and so on, and achieved many new, interesting and important results, for example, the valid asymptotic solutions of the perturbed forced Klein-Gordont equations [56], instead of the classical methods, for instance, inverse scattering method and deformed maps, used in the investigation of those equations. His research has now lots of followers.…”