Asymptotic solution of a sea–air oscillator for ENSO mechanism

莫嘉琪,; 林万涛,; 王辉,

doi:10.1088/1009-1963/16/3/003

Cited by 13 publications

(6 citation statements)

References 27 publications

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“…By operating integrating factor and substituting the conditions: T(0) = 0, h(0) =0, τ 1 (0) = 0, τ 2 (0) = 0 given in [10] into (21)-(24), the following solutions can easily be obtained: Next, on applying (25)-(28) into the equations (17)-(20) respectively, the restof the components of the iteration formulae can be reached with the aid of the Maple computer algebra package where the first-order approximate solution of the variational iteration method are computed as below:…”

Section: Variational Iteration Methodsmentioning

confidence: 99%

“…The positive ocean-atmosphere feedback or coupled ocean-atmosphere instability contributes to a continuously warm equatorial Pacific region. Now, we consider the sea-air oscillator of the ENSO model presented in [10]:…”

Section: Introductionmentioning

confidence: 99%

“…Previously, Mo et al [10] analyzed asymptotic solution to tackle this quadruple sea-air oscillator model. In this paper we will employ the variational iteration method [11] to generate approximate solution to the prescribed ENSO systemwhile considering both the eastern and western anomaly patterns.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Variational iteration method for solving sea-air oscillator of the ENSO model

Noor¹

2015

AIP Conference Proceedings

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Section: Variational Iteration Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Variational iteration method for solving sea-air oscillator of the ENSO model

Noor¹

2015

AIP Conference Proceedings

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“…Approximate methods have been developed and improved, including the method of averaging, the boundary layer method, the matched asymptotic expansion method, and the multiple scales method (Dawes and Proctor, 2008;Graef and Kong, 2008;Hovhannisyan and Vulanovic, 2008;Ramos, 2009). Using the perturbation method, Mo et al studied some of nolinear perturbation problems (Mo et al, 2004;2007a;2007b;Mo and Wang, 2007;Mo and Lin, 2008a;2008b;2008c;Mo, 2009a;2009b;2009c). In this paper, we discuss a model of the thermally and wind-driven ocean circulation and obtain an approximate solution of the model by using the homotopic mapping perturbation method.…”

Section: Introductionmentioning

confidence: 99%

Approximate solution for mechanism of thermally and wind-driven ocean circulation

2010

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The thermally and wind-driven ocean circulation is a complicated natural phenomenon in the atmospheric physics. Hence we need to reduce it using basic models and solve the models using approximate methods. A nonlinear model of the thermally and wind-driven ocean circulation is used in this paper. The results show that the zero solution of the linear equation is a stable focus point, which is the path curve trend origin point as time (t) trend to infinity. By using the homotopic mapping perturbation method, the exact solution of the model is obtained. The homotopic mapping perturbation method is an analytic solving method, so the obtained solution can be used for analytic operating sequentially. And then we can also obtain the diversified qualitative and quantitative behaviors for corresponding physical quantities.

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“…Recently, many scholars have done a great deal of work (Ni and Wei, 2006;Khasminskii and Yin, 2005;Marques, 2005;Bobkova, 2005). Using the differential inequalities and other methods, Mo et al (2003) also provided a class of shock layer solution of nonlinear equations for the singularly perturbed problems and the E1 Ni o phenomenon of atmospheric physics (Mo et al, 2004;2006;2007). In this paper, using a special singular perturbation method, we study interhemispheric THC model in atmosphere-ocean for global climate.…”

Section: Introductionmentioning

confidence: 99%

Singularly perturbed solution of coupled model in atmosphere-ocean for global climate

2008

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A box model of the interhemispheric thermohaline circulation (THC) in atmosphere-ocean for global climate is considered. By using the multi-scales method, the asymptotic solution of a simplified weakly nonlinear model is discussed. Firstly, by introducing first scale, the zeroth order approximate solution of the model is obtained. Secondly, by using the multi-scales, the first order approximate equation of the model is found. Finally, second order approximate equation is formed to eliminate the secular terms, and a uniformly valid asymptotic expansion of solution is decided. The multi-scales solving method is an analytic method which can be used to analyze operation sequentially. And then we can also study the diversified qualitative and quantitative behaviors for corresponding physical quantities. This paper aims at providing a valid method for solving a box model of the nonlinear equation.

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Asymptotic solution of a sea–air oscillator for ENSO mechanism

Cited by 13 publications

References 27 publications

Variational iteration method for solving sea-air oscillator of the ENSO model

Variational iteration method for solving sea-air oscillator of the ENSO model

Approximate solution for mechanism of thermally and wind-driven ocean circulation

Singularly perturbed solution of coupled model in atmosphere-ocean for global climate

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