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厄尔尼诺/拉尼娜-南方涛动(ENSO)是一个包括在赤道太平洋中海-气交互作用的年际现象.本文创建一个求解ENSO模型非线性方程的近似方法.并在这基础上借助同伦映射方法研究了一类ENSO模型振子模型的近似解与精确解.同时讨论了近似解的精度.从得到的结果看出,同伦映射方法能够用于分析ENSO模型在赤道东太平洋中的SST异常和气-海振荡的温跃层深度异常.
El Niño / La Niña-Southern Oscillation (ENSO) is an interannual event that includes the sea-atmosphere interaction in the equatorial Pacific Ocean.This paper creates an approximate method to solve the nonlinear equations of the ENSO model, and based on this, The approximate solutions and exact solutions for a class of ENSO model oscillator models are discussed.At the same time, the accuracy of the approximate solutions is discussed.From the results obtained, the homotopic mapping method can be used to analyze the ENSO model SST anomalies in the equatorial eastern Pacific and the gas-sea Oscillating thermocline depth abnormalities.