【摘要】：厄爾尼諾-南方濤動是一個涉及赤道太平洋海-氣交互作用的年際現(xiàn)象.本文的目的是創(chuàng)建一個求解厄爾尼諾-南方濤動模型非線性系統(tǒng)的漸近方法.首先利用線性齊次常微分系統(tǒng)的特征值理論得到了對應(yīng)初值問題的解,并以此解為原系統(tǒng)的零次近似解,然后利用同倫映射關(guān)系式依次構(gòu)造原系統(tǒng)的各次迭代解,最后在這基礎(chǔ)上借助同倫映射方法研究了厄爾尼諾南方濤動系統(tǒng)海-氣振子對應(yīng)問題的漸近解,并證明了得到的漸近解的一致有效性.從得到的結(jié)果看出,同倫映射方法能夠用于分析厄爾尼諾-南方濤動系統(tǒng)在赤道東太平洋中的海表溫度異常和海-氣振子的溫躍層深度異常.
[Abstract]:El Nino Southern Oscillation is an interannual phenomenon involving sea-air interaction in the equatorial Pacific. The purpose of this paper is to create an asymptotic method for solving the nonlinear system of El Nino Southern Oscillation model. Firstly, the solution of the corresponding initial value problem is obtained by using the eigenvalue theory of the linear homogeneous ordinary differential system, and the solution is taken as the zero order approximate solution of the original system, and then the iterative solutions of the original system are constructed by using the homotopy mapping relation in turn. Finally, the asymptotic solution of the corresponding problem of the sea-air oscillator of the El Ni 帽 o Southern Oscillation system is studied by means of homotopy mapping method, and the uniform validity of the obtained asymptotic solution is proved. The results show that the homotopy mapping method can be used to analyze the sea surface temperature anomaly and the thermocline depth anomaly of the El Nino Southern Oscillation system in the eastern equatorial Pacific Ocean.
【作者單位】： 安徽機(jī)電職業(yè)技術(shù)學(xué)院;中國科學(xué)院大氣物理研究所大氣科學(xué)和地球流體力學(xué)數(shù)值模擬國家重點(diǎn)實驗室;安徽師范大學(xué)數(shù)學(xué)系;
【基金】：The National Natural Science Foundation of China(41275062) the Natural Science Foundation of the Education Department of Anhui Province(KJ2015A418)
【分類號】：O175

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