Abstract
A box model of the interhemispheric thermohaline circulation (THC) in atmosphere-ocean for global climate is considered. By using the generalized variational iteration method, the approximate solution of a simplified nonlinear model is studied. The generalized variational iteration method is an analytic method, and the obtained analytic solution can be operated sequentially. The authors also diversify qualitative and quantitative behaviors for corresponding physical quantities.
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References
W. M. Ni and J. C. Wei, On positive solution concentrating on spheres for the Gierer-Meinhardt system, J. Diff. Eqns., 2006, 221(1): 158–189.
J. P. Bartier, Global behavior of solutions of a reaction-diffusion equation with gradient bsorption in unbounded domains, Asymptotic Anal., 2006, 46(3–4): 325–347.
I. Marques, Existence and asymptotic behavior of solutions for a class of nonlinear elliptic equations with Neumann condition, Nonlinear Anal., 2005, 61(1): 21–40.
A. S. Bobkova, The behavior of solutions of multidimensional singularly perturbed system with one fast variable, Diff. Eqns., 2005, 41(1): 23–32.
J. Q. Mo, H. Wang, and W. T. Lin, Perturbed solution of sea-air oscillator for the El Nino/La Nino-Southern oscillation mechaism, Acta Math. Sci., 2005, 25B(4): 710–714.
J. Q. Mo, W. T. Lin, and J. Zhu, The variational iteration solving method for El Nino/La Nino-Southern Oscillation model, Adv. in Math., 2006, 35(2): 232–236.
J. Q. Mo, W. T. Lin, and J. Zhu, A variational iteration solving method for ENSO mechanism, Prog. Nat. Sci., 2004, 14(12): 1126–1128.
J. Q. Mo, W. T. Lin, and H. Wang, Variational iteration solution of a sea-air oscillator model for the ENSO, Prog. Nat. Sci, 2007, 17(2): 230–232.
J. Q. Mo, H. Wang, W. T. Lin, and Y. H. Lin, Varitional iteration method foe solving the mechanism of the equatorial Eastern Pacific El Nino-Southern Oscillation, Chin. Phys., 2006, 15(4): 671–675.
J. Q. Mo, H. Wang, and W. T. Lin, Nomotopic method of solving a class of El Nino/La Nino Southern Oscillation sea-air oscillator, Chin. Phys., 2006, 15(9): 1927–1931.
J. Q. Mo, W. T. Lin, and H. Wang, Asymptotic solution of a sea-are oscillator for ENSO mechanism, Chin. Phys., 2007, 16(3): 578–581.
J. Q. Mo, W. T. Lin, and H. Wang, Variational iteration method for solving perturbed mechanism of western boundary undercurrents in the Pacific, Chin. Phys., 2007, 16(4): 951–964.
J. H. He, Approximate Nonlinear Analytical Methods in Engineering and Sciences, Science and Technology Publisher, Shengzhou, 2002.
C. Rooth, Hydrology and ocean circulation, Prog. Oceanogr., 1982, 11(1): 131–149.
J. R. Scott, J. Marotzke, and R. H. Stone, Interhemispheric THC in a couple box model, J. Phys. Oceanogr., 1999, 29(2): 351–365.
H. S. Peter and P. K. Yuriy, Stability of the interhemispheric themohaline circulation in a coupled box model, Dynamics of Atmospheres and Oceans, 1999, 29(2): 415–435.
E. M. de Jager and F. R. Jiang, The Theory of Singular Perturbation, North-Holland Publishing Co, Amsterdam, 1996.
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This research is supported by the National Natural Science Foundation of China under Grant Nos. 40576012 and 90111011, the State Key Development Program for Basics Research of China under Grant No. 2004CB418304, the Key Project of the Chinese Academy of Sciences under Grant No. KZCX3-SW-221 and in part by E-Institutes of Shanghai Municipal Education Commission under Grant No. E03004.
This paper was recommended for publication by Editor Ningning YAN.
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Mo, J., Lin, W. Generalized variation iteration solution of an atmosphere-ocean oscillator model for global climate. J Syst Sci Complex 24, 271–276 (2011). https://doi.org/10.1007/s11424-011-7153-1
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DOI: https://doi.org/10.1007/s11424-011-7153-1