一类厄尔尼诺海-气振子机理的同伦解法

研究了一类厄尔尼诺-南方海涛(ENSO)机理耦合系统振荡.利用同伦理论和摄动方法，较简便地得到了一类ENSO模型解的近似展开式. 关键词： 非线性 同伦理论 摄动 厄尔尼诺-南方海涛模型     

海-气振子厄尔尼诺-南方涛动模型的近似解

研究了一类厄尔尼诺-南方涛动(ENSO)的时滞耦合系统振荡的模型.利用同伦映射方法求出了ENSO模型解的渐近展开式,并讨论了相应问题的渐近性态。     

副热带圈和赤道太平洋年代际变更的海-气振子模型解的同伦映射方法

研究了一类海-气振子时滞方程.目的是构建一个非线性海-气振子模型的近似求解方法，利用同伦映射理论讨论了对应的问题的近似解.这是一个近似的解析方法，它能够进一步分析海-气振子模型海表温度异常的其他性态.     

一类厄尔尼诺时滞海-气振子摄动解

研究了一类厄尔尼诺-南方涛动(ENSO)的时滞振子耦合系统. 利用时滞理论, 摄动等方法求出了ENSO模型解的渐近式,并讨论了相应问题的渐近性态. 关键词： 非线性 摄动 ENSO模型     

一类燃烧模型的同伦分析解法

研究了一类非线性燃烧模型.利用同伦分析方法,得到了该模型的近似解. 关键词： 非线性方程 燃烧模型 同伦分析法 近似解     

扰动厄尔尼诺/拉尼娜-南方涛动模型的解

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.     

远场模型方程的同伦近似对称约化

以同伦近似对称法为理论依据研究了远场模型方程, 通过归纳各阶相似约化解和各阶相似约化方程的通式构造相应的同伦级数解. 各阶相似约化方程均为线性变系数常微分方程, 并且可以从零阶开始依次求解. 同伦模型中的辅助参数影响同伦级数解的收敛性. 关键词： 同伦近似对称法 远场模型方程 同伦级数解     

赤道东太平洋厄尔尼诺—南方海涛机制的同伦解法

厄尔尼诺—南方海涛(ENSO)是涉及到赤道太平洋中的一个年际现象。本文的目的是建立一个ENSO模型的非线性方程的渐近求解方法。并在一类ENSO模型振子的基础上，借用同伦映射方法研究了对应问题的近似解。由同伦方法得到的结果去分析ENSO模型的赤道东太平洋的SST变异和气-海振子的温度深度变异。     

一类海-气耦合振子模型行波解的渐近解法

热带海-气振子是一个复杂的自然现象.本文是对一个海-气耦合振子模型,利用一个待定系数和摄动理论相结合的新方法,得到了相应模型的行波渐近解.     

一类Lorenz系统的同伦映射解法

研究了一个Lorenz方程的求解问题. 首先构造一组同伦映射,其次决定系统的初始近似,最后通过同伦映射得到了对应模型的各次近似解. 同伦映射方法是一个解析方法,得到的解还能够继续进行解析运算. 关键词： 洛伦兹方程 同伦映射 近似解 厄尔尼诺和拉尼娜现象     

Asymptotic solving method for sea-air coupled oscillator ENSO model

The ENSO is an interannual phenomenon involved in the tropical Pacific ocean-atmosphere interaction.In this article,we create an asymptotic solving method for the nonlinear system of the ENSO model.The asymptotic solution is obtained.And then we can furnish weather forecasts theoretically and other behaviors and rules for the atmosphere-ocean oscillator of the ENSO.     

Asymptotic solving method for a sea-air oscillator model of atmospheric physics

In this paper, a class of coupled system for the El Nin o/La Nin a southern oscillation (ENSO) atmospheric physics oscillation model is considered. We propose an ENSO atmospheric physics model using a method from the asymptotic theory. It is indicated from the results that the asymptotic method can be used for analyzing the sea surface temperature anomaly and the thermocline depth anomaly of the atmosphere-ocean oscillation for the ENSO model in the equatorial Pacific.     

The homotopic method of travelling wave solution for El Nino tropic sea-air coupled oscillator

The EI Nimo and Southern Oscillation （ENSO） is an interannual phenomenon involved in the tropical Pacific sea-air interactions. In this paper, an asymptotic method of solving nonlinear equations for the ENSO model is proposed. And based on a class of oscillator of the ENSO model and by employing the method of homotopic mapping, the approximate solution of equations for the corresponding ENSO model is studied. It is proved from the results that homotopic method can be used for analysing the sea surface temperature anomaly in the equatorial Pacific of the sea-air oscillator for the ENSO model.     

Asymptotic solving method for seaben air coupled oscillator ENSO model

The ENSO is an interannual phenomenon involved in the tropical Pacific ocean-atmosphere interaction. In this article, we create an asymptotic solving method for the nonlinear system of the ENSO model. The asymptotic solution is obtained. And then we can furnish weather forecasts theoretically and other behaviors and rules for the atmosphere-ocean oscillator of the ENSO.     

厄尔尼诺-南方涛动时滞海气振子耦合模型的周期解

运用重合度理论探讨了一类非线性问题的周期解的存在性.然后将其应用于一个厄尔尼诺-南方涛动时滞海气振子耦合模型周期解问题的研究,获得到了该模型存在周期解的新结果. 关键词： 非线性 厄尔尼诺-南方涛动 周期解     

Singularly perturbed solution of a sea--air oscillator model for the ENSO

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 El Ni\tilde{\rm n}o--Southern Oscillation model. And based on a class of oscillators of the model, employing the method of ENSO singular perturbation, the asymptotic solution of corresponding problem is obtained. It is proven from the results that the method of singular perturbation can be used for analysing the sea surface temperature anomaly in the equatorial eastern Pacific of the atmosphere--ocean oscillation for ENSO model.     

厄尔尼诺-南方涛动时滞海-气振子耦合模型

研究了一个时滞海-气振子模型.利用摄动理论和方法，得到了海-气振子模型解的渐近展开式. 关键词： 非线性 时滞 厄尔尼诺-南方涛动 海-气振子     

The homotopic mapping method for sea-air oscillator model of interdecadal climate fluctuations

The E1 Nifio/La Nifia Southern Oscillation （ENSO） is an interannual phenomenon involved in the tropical Pacific ocean-atmosphere interactions. In this paper, a coupled system of sea-air oscillator model is studied. The aim is to create an asymptotic solving method of nonlinear equation for the ENSO model. And based on a class of oscillators of ENSO model, employing the method of homotopic mapping, the approximate solution of corresponding problem is studied. It is proven from the results that the homotopic method can be used for analysing the sea surface temperature anomaly in the equatorial eastern Pacific and the thermocline depth anomaly of the atmosphere-ocean oscillation for ENSO model.