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。     

海-气振子ENSO模型的同伦解法

研究了一个厄尔尼诺-南方海涛(ENSO)的时滞振子的模型.利用同伦映射方法求出了ENSO模型的近似解 关键词： 非线性 同伦 ENSO模型     

赤道东太平洋SST的海-气振子模型

研究了一个海-气振子的非线性耦合系统的模型.利用变分迭代原理，首先构造了相应的一组泛函.其次选取其Lagrange乘子.再用广义变分迭代方法得到了海-气振子模型一组解的近似序列. 关键词： 海-气振子 非线性 耦合系统 厄尔尼诺模型     

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     

一类全球气候气-海耦合振子机理的近似解析解

考虑了一个全球气候两半球间气-海热盐循环(THC)的箱域模型. 利用同伦映射方法,研究了一类简化型非线性模型. 得到了模型的近似解. 同伦映射求解方法是一个解析方法,得到的解还能继续进行解析运算. 从而可再研究有关物理量的各种定性、定量的性态. 关键词： 气-海 厄尔尼诺-南方涛动 同伦映射 近似解     

一类扰动Burgers方程的孤子同伦映射解

研究一类扰动非线性Burgers方程求解问题,利用同伦映射方法和理论,得到原方程孤子的任意次精度的近似解.     

输电线非线性振动问题的同伦映射近似解

研究了一类输电线非线性振动的动力学模.利用同伦映射方法,得到了该模型的任意次精度的近似解. 关键词： 输电线 非线性振动 同伦映射 近似解     

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。     

扰动KdV方程孤子的同伦映射解

利用同伦映射方法研究了一类非线性KdV(Korteweg de Vries)方程. 首先引入一个同伦变换,使相应的方程求孤子解问题转化为映射变换问题.然后利用映射特性得到了原方程孤子的近似解. 关键词： 孤子 扰动 同伦映射     

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     

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 solution for the El Nino time delay sea-air oscillator model

A sea-air oscillator model is studied using the time delay theory. The aim is to find an asymptotic solving method for the El Nino-southern oscillation （ENSO） model. Employing the perturbed method, an asymptotic solution of the corresponding problem is obtained. Thus we can obtain the prognoses of the sea surface temperature （SST） anomaly and the related physical quantities.     

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 sea--air oscillator model of decadal variations in subtropical cells and equatorial Pacific SST

In this paper a time delay equation for sea--air oscillator model is studied. The aim is to create an approximate solving method of nonlinear equation for sea--air oscillator model. Employing the method of variational iteration, it obtains the approximate solution of corresponding equation. This method is an approximate analytic method, which can be often used for analysing other behaviour of the sea surface temperature anomaly of the atmosphere--ocean oscillator model.     

一类扰动海-气耦合振子机理的近似解

考虑了一个全球气候扰动海-气热盐循环的箱域模型.利用同伦映射方法,研究了一类非线性模型.得到了模型的近似解.同伦映射求解方法是一个解析方法,得到的解还能继续进行解析运算.从而再可研究有关物理量的各种定性、定量的性态.     

Existence and asymptotic estimates of periodic solutions of a sea--air oscillator model of decadal variations in subtropical cells and equatorial Pacific SST

This paper studies a time delay equation for sea-air oscillator model. The existence and asymptotic estimates of periodic solutions of corresponding problem are obtained by employing the technique of upper and lower solution, and by using the continuation theorem of coincidence degree theory.     

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.     

Homotopic mapping solution of an oscillator for the El Nino / La Nina-southern oscillation

This paper considers a class of oscillator for the El Nin o/La Nin a-southern oscillation (ENSO) model.By using the homotopic mapping method,it obtains approximations of the solution for the ENSO model.