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1.
This paper consider a class of perturbed mechanism for the western boundary undercurrents in the Pacific.The model of generalized governing equations is studied.Using the perturbation method,it constructs the asymptotic solution of the model.And the accuracy of asymptotic solution is proved by the theory of differential inequalities.Thus the uniformly valid asymptotic expansions of the solution are obtained.  相似文献   

2.
莫嘉琪  林万涛  林一骅 《物理学报》2007,56(6):3127-3131
研究了一类赤道太平洋西部边界潜流的摄动机理. 考虑了对应的广义控制方程. 首先引入了一个优化的同伦映射,利用相应的映射求得了原模型的近似解. 最后,通过一个例子说明了用同伦映射方法得到的近似解具有较好的精确度. 关键词: 潜流 摄动 近似解  相似文献   

3.
莫嘉琪  林万涛 《物理学报》2008,57(11):6689-6693
研究了一个三维赤道海气振子Kelvin波的方程.利用变分迭代解法,得到了对应模型的近似解.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: 变分迭代 近似解 Kelvin波  相似文献   

4.
周先春  林万涛  林一骅  姚静荪  莫嘉琪 《物理学报》2011,60(11):110207-110207
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  相似文献   

5.
厄尔尼诺大气物理机理的变分迭代解法   总被引:6,自引:0,他引:6       下载免费PDF全文
莫嘉琪  林万涛 《物理学报》2005,54(3):1081-1083
研究了一个厄尔尼诺大气物理机理振荡.利用变分迭代理论,简捷地得到了该模型解的近似展开式.通过与特殊情形下模型的精确解的比较,得到的一次近似解具有完全符合的精确度. 关键词: 非线性 变分迭代 厄尔尼诺现象  相似文献   

6.
莫嘉琪 《物理学报》2011,60(3):30203-030203
研究了一类非线性尘埃等离子体孤波解. 首先构造一个变分迭代, 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. 关键词: 等离子体 变分迭代 近似解  相似文献   

7.
The El Nifio-Southern Oscillation (ENSO) is an interannual phenomenon involved in the tropical Pacific Oceanatmosphere interactions. In this paper, an asymptotic method of solving the nonlinear equation for the ENSO model is used. And based on a class of oscillator of ENSO model, the approximate solution of a corresponding problem is studied by employing the perturbation method. Firstly, an ENSO model of nonlinear time delay equation of equatorial Pacific is introduced, Secondly, by using the perturbed method, the zeroth and first order asymptotic perturbed solutions are constructed. Finally, from the comparison of the values for a figure, it is seen that the first asymptotic perturbed solution using the perturbation method has a good accuracy. And it is proved from the results that the perturbation method can be used as an analytic operation for the sea surface temperature anomaly in the equatorial Pacific of the atmosphere-ocean oscillation for the ENSO model.  相似文献   

8.
莫嘉琪  林万涛 《物理学报》2008,57(3):1291-1294
研究了一个赤道Kelvin波的方程. 利用变分迭代解法, 得到了其近似解. 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: 变分迭代 近似解 Kelvin  相似文献   

9.
《Physics letters. A》2008,372(21):3829-3835
In this Letter, a mathematical model of the problem of prey and predator is presented and He's variational iteration method is employed to compute an approximation to the solution of the system of nonlinear differential equations governing the problem. The results are compared with the results obtained by Adomian decomposition method and homotopy perturbation method. Comparison of the methods show that He's variational iteration method is a powerful method for obtaining approximate solutions to nonlinear equations and their systems.  相似文献   

10.
In this Letter, we introduce a modified variational iteration method by inserting some unknown parameters into the correctional functional. The main advantage of this method is that one can avoid the uncontrollability problems, of the nonzero endpoint conditions, encountered in the traditional variational iteration method. Moreover, the method is applied to some nonlinear equations and the numerical solutions reveal that the modified method is accurate and efficient to solve a large class of nonlinear differential equations. Furthermore, the method does not share the drawbacks of the conventional variational iteration method, namely the restriction of the order of the nonlinearity term or even the form of the boundary conditions.  相似文献   

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