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厄尔尼诺／拉尼娜-南方涛动非线性扰动模型孤子的渐近解法

ISSN号：1000-3290
期刊名称：《物理学报》
时间：0
分类：O175.29[理学—数学;理学—基础数学]
作者机构：[1]中国科学院大气物理研究所大气科学和地球流体力学数值模拟国家重点实验室,北京100029, [2]福建师范大学福清分校数学与计算机科学系,福清350300, [3]湖州师范学院理学院,湖州313000, [4]安徽师范大学数学系,芜湖241003
相关基金：国家自然科学基金（批准号：40876010,11071205）、中国科学院战略性先导研究计划（批准号：XDA01020304）、浙江省自然科学基金（批准号：Y6110502）、福建省教育厅自然科学基金（批准号：JAl0288）和安徽教育厅自然科学基金（批准号：KJ2011A135）资助的课题.

作者：林万涛[1], 陈丽华[2], 欧阳成[3], 莫嘉琪[3,4]

关键词：孤子, 渐近方法, 厄尔尼诺/拉尼娜现象, soliton, asymptotic method, E1 Nifio/La Nifia phenomenon

中文摘要：

研究了一类厄尔尼诺／拉尼娜．南方涛动（ENSO）随机扰动模型．首先，利用特殊的待定系数方法得到了无扰动ENSO模型下的孤子精确解．然后利用渐近理论和方法构造了随机扰动ENSO模型的近似解，并举例说明得到的渐近解具有较好的精度．

英文摘要：

A class of E1 Nifio/La Nifia-southem oscillation （ENSO） stochastic disturbed model is considered. Firstly, using the special method of undetermined coefficients, the exact solution of the non-disturbed ENSO model is obtained. Then the approximate solutions of stochastic disturbed ENSO model are constructed by using the asymptotic theory and method. And it is illustrated with example that the asymptotic solutions have the better degree of accuracy.

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