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.     

一类厄尔尼诺-南方涛动耦合时滞振子动力系统

讨论了厄尔尼诺-南方涛动(ENSO)大气物理动力系统.利用对时滞函数幂级数展开和微分方程解析理论,得到了海-气振子系统的幂级数解,并通过弱阻尼和强阻尼两个典型的例子叙述了相应解在对应的相平面上的轨线的发展趋势.从而指出了海-气振子的后效情况.     

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     

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.     

A CLASS OF NONLINEAR NONLOCAL SINGULARLY PERTURBED PROBLEMS FOR REACTION DIFFUSION EQUATIONS WITH BOUNDARY PERTURBATION

A class of nonlinear nonlocal for singularly perturbed Robin initial boundary value problems for reaction diffusion equations with boundary perturbation is considered. Under suitable conditions, first, the outer solution of the original problem was obtained. Secondly, using the stretched variable, the composing expansion method and the expanding theory of power series the initial layer was constructed. Finally, using the theory of differential inequalities the asymptotic behavior of solution for the initial boundary value problems was studied, and educing some relational inequalities the existence and uniqueness of solution for the original problem and the uniformly valid asymptotic estimation were discussed.     

广义Duffing扰动振子随机共振机理的渐近解

利用非线性方法研究了一类广义Duffing扰动方程.首先求得了典型的Duffing方程的解.然后利用泛函广义变分迭代原理得到了广义Duffing扰动振子随机共振机理的近似解,并论述了解的一致有效性.     

Asymptotic solution for the El Ni no time delay seaben 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 Ni no-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.     

PERTURBED SOLUTION OF SEA-AIR OSCILLATOR FOR THE EL NINO/LA NINO-SOUTHERN OSCILLATION MECHANISM

A class of coupled system to oscillate of the E1 Nino/La Nino-Southern Oscillation （ENSO） mechanism is studied. Using the perturbed theory, the asymptotic expansions and asymptotic behavior of the solution for an ENSO model are obtained.     

一类厄尔尼诺海-气振子机理的摄动解

研究了一类厄尔尼诺-南方海涛(ENSO)机理耦合系统振荡.利用摄动理论和方法，较简便地得到了一类ENSO模型解的一致有效的渐近展开式. 关键词： 非线性 摄动理论 厄尔尼诺-南方涛动模型     

一类扰动洛伦兹系统的解法

研究了一个大气物理中洛伦兹系统的求解问题.首先利用广义变分原理构造一组变分迭代,其次决定系统的初始近似,最后通过变分迭代方法得到了对应模型的各次近似解.广义变分迭代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 变分原理 近似解