Asymptotic solution for the Elñi no time delay sea–air oscillator model

doi:10.1088/1674-1056/20/7/070205

中国物理B ›› 2011, Vol. 20 ›› Issue (7): 70205-070205.doi: 10.1088/1674-1056/20/7/070205

Asymptotic solution for the Elñi no time delay sea–air oscillator model

莫嘉琪¹, 林万涛², 林一骅²

(1)Department of Mathematics, Anhui Normal University, Wuhu 241003, China; (2)Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China

收稿日期:2010-08-18 修回日期:2011-02-12 出版日期:2011-07-15 发布日期:2011-07-15

Asymptotic solution for the Eiño time delay sea–air oscillator model

Mo Jia-Qi(莫嘉琪)^a)b)†, Lin Wan-Tao(林万涛)^c), and Lin Yi-Hua(林一骅)^c)

^a Department of Mathematics, Anhui Normal University, Wuhu 241003, China; ^b Division of Computational Science, E-Institutes of Shanghai Universities at Shanghai Jiaotong University, Shanghai 200240, China; ^c Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China

Received:2010-08-18 Revised:2011-02-12 Online:2011-07-15 Published:2011-07-15

摘要/Abstract

摘要： 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.

关键词: nonlinear, approximate solution, El Ni no-Southern oscillator model

Abstract: 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.

Key words: nonlinear, approximate solution, El Niño-Southern oscillator model

中图分类号: (Approximations and expansions)

02.30.Mv

莫嘉琪, 林万涛, 林一骅. Asymptotic solution for the Elñi no time delay sea–air oscillator model[J]. 中国物理B, 2011, 20(7): 70205-070205.

Mo Jia-Qi(莫嘉琪), Lin Wan-Tao(林万涛), and Lin Yi-Hua(林一骅). Asymptotic solution for the Eiño time delay sea–air oscillator model[J]. Chin. Phys. B, 2011, 20(7): 70205-070205.

参考文献 25

[1]	McPhaden M J and Zhang D 2002 Nature 415 603
[2]	Gu D and Philander S G H 1997 Science 275 805
[3]	Latif M, Sterl A and Maier-Reimer E 1993 J. Climate 6 700
[4]	Neelin J D, Latif M and Jin F F 1994 Annu. Rev. Fluid Mech. 26 617
[5]	Wang C, Weisberg R H and Virmani J I 1999 J. Geophys. Res. 104 5131
[6]	Wang C 2001 Advances in Atmospheric Sciences 18 674
[7]	Dai X G, Wang A H and Chou J F 2001 Acta Phys. Sin. 50 606 (in Chinese)
[8]	Feng G L, Dong W J and Jia X J 2002 Acta Phys. Sin. 51 1181 (in Chinese)
[9]	Liu S K, Fu Z T and Liu S D 2002 Acta Phys. Sin. 51 10 (in Chinese)
[10]	Wang C 2001 Advances in Atmospheric Sciences 18 674
[11]	Lin W T and Mo J Q 2003 Chinese Science Bulletin 48(II) 5
[12]	Mo J Q and Lin W T 2004 Acta Phys. Sin. 53 996 (in Chinese)
[13]	Mo J Q and Lin W T 2005 Chin. Phys. 14 875
[14]	Mo J Q and Lin W T 2008 Chin. Phys. B 17 370
[15]	Mo J Q and Lin W T 2008 Chin. Phys. B 17 743
[16]	Mo J Q, Lin W T and Wang H 2009 Acta Math. Sin. 29 101
[17]	Mo J Q, Lin W T and Lin Y H 2009 Chin. Phys. B 18 3624
[18]	Mo J Q, Lin Y H and Lin W T 2010 Chin. Phys. B 19 030202
[19]	Mo J Q 2010 Chin. Phys. B 19 010203
[20]	de Jager E M and Jiang F 1996 The Theory of Singular Perturbation (Amsterdam: North-Holland Publishing Co.)
[21]	Sagon G 2008 Nonlinearity 21 1183
[22]	Hovhannisyan G and Vulanovic 2008 Nonlinear Stud. 15 297
[23]	Barbu L and Cosma 2009 J. Math. Anal. Appl. 351 392
[24]	Ramos M 2009 J. Math. Anal. Appl. 352 246
[25]	O'Malley R E 1974 Introdction to Singular Perturbation (New York: Academic Press)

Asymptotic solution for the Elñi no time delay sea–air oscillator model

Asymptotic solution for the Eiño time delay sea–air oscillator model

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