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A box model of the interhemispheric thermohaline circulation in the disturbed sea-air for globe climate is considered. By using the homotopic mapping method，a class of nonlinear model is studied, and the approximate solution is obtained. The homotopic mapping solving method is an analytic method，the solution obtained can be analytically operated sequentially. And then we can also study the diversified qualitative and quantitative behaviors of corresponding physical quantities.
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Keywords:
- sea-air coupled oscillator /
- approximate solution /
- homotopic mapping /
- El Nio-Southern Oscillation
[1] ［1］Rooth C 1982 Prog. Oceanogr. 11 131
[2] ［2］Scott J R，Marotzke J，Stone R H 1999 J. Phys. Oceanogr. 29 351
[3] ［3］Peter H S，Yuriy P K 1999 Dynam. Atm. Oc. 29 415
[4] ［4］Hovhannisyan G，Vulanovic R 2008 Nonl. Stud. 15 297
[5] ［5］Graef J R，Kong L 2008 Math. Proc. Camb. Philos. Soc. 145 489
[6] ［6］Barbu L，Cosma E 2009 J. Math. Anal. Appl. 351 392
[7] ［7］Ramos M，2009 J. Math. Anal. Appl. 352 246
[8] ［8］Mo J Q，Zhu J，Wang H 2003 Prog. Nat. Sci. 13 768
[9] ［9］Mo J Q，Zhang W J，He M 2007 Acta Phys. Sin. 56 1843 (in Chinese) ［莫嘉琪、张伟江、何铭 2007 56 1843］
[10] ］Mo J Q，Zhang W J，Chen X F 2007 Acta Phys. Sin. 56 6169 (in Chinese) ［莫嘉琪、张伟江、陈贤峰 2007 56 6169］
[11] ］Mo J Q 2009 Chin. Phys. Lett. 26 010204
[12] ］Mo J Q 2009 Chin. Phys. Lett. 26 060202
[13] ］Mo J Q, Yao J S 2008 Acta Phys. Sin. 57 7419 (in Chinese) ［莫嘉琪、姚静荪 2008 57 7419］
[14] ］Mo J Q 2009 Acta Phys. Sin. 58 695 (in Chinese) ［莫嘉琪 2009 58 695］
[15] ］Mo J Q 2009 Acta Phys. Sin. 58 2930 (in Chinese) ［莫嘉琪 2009 58 2930］
[16] ］Mo J Q 2009 Sci. China Ser. G 52 1007
[17] ］Mo J Q，Zhang W J，He M 2006 Acta Phys. Sin. 55 3233 (in Chinese) ［莫嘉琪、张伟江、何铭 2007 55 3233］
[18] ］Mo J Q，Lin W T，Wang H，2008 Chin. Geogr. Sci. 18 193
[19] ］Mo J Q，Lin W T，Wang H 2007 Prog. Nat. Sci. 17 230
[20] ］Mo J Q，Lin W T 2008 Acta Phys. Sin. 57 6689 (in Chinese) ［莫嘉琪、林万涛 2008 57 6689］
[21] ］Mo J Q，Lin W T，Lin Y H 2007 Acta Phys. Sin. 56 3127 (in Chinese) ［莫嘉琪、林万涛、林一骅 2007 56 3127］
[22] ］Mo J Q，Lin W T 2008 Acta Phys. Sin. 57 6694 (in Chinese) ［莫嘉琪、林万涛 2008 57 6694］
[23] ］Mo J Q，Lin W T，Wang H 2007 Chin. Phys. 16 951
[24] ］Mo J Q，Lin W T 2008 Chin. Phys. B 17 370
[25] ］Mo J Q，Lin W T 2008 Chin. Phys. B 17 743
[26] ］Liao S J 2004 Beyond Perturbation: Introduction to the Homotopy Analysis Method (New York: CRC Press)
[27] ］He J H 2008 Int. J. Mod. Phys. B 22 3487
[28] ］De Jager E M，Jiang F R 1996 The Theory of Singular Perturbation (Amsterdam: North-Holland Publishing Co.)
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[1] ［1］Rooth C 1982 Prog. Oceanogr. 11 131
[2] ［2］Scott J R，Marotzke J，Stone R H 1999 J. Phys. Oceanogr. 29 351
[3] ［3］Peter H S，Yuriy P K 1999 Dynam. Atm. Oc. 29 415
[4] ［4］Hovhannisyan G，Vulanovic R 2008 Nonl. Stud. 15 297
[5] ［5］Graef J R，Kong L 2008 Math. Proc. Camb. Philos. Soc. 145 489
[6] ［6］Barbu L，Cosma E 2009 J. Math. Anal. Appl. 351 392
[7] ［7］Ramos M，2009 J. Math. Anal. Appl. 352 246
[8] ［8］Mo J Q，Zhu J，Wang H 2003 Prog. Nat. Sci. 13 768
[9] ［9］Mo J Q，Zhang W J，He M 2007 Acta Phys. Sin. 56 1843 (in Chinese) ［莫嘉琪、张伟江、何铭 2007 56 1843］
[10] ］Mo J Q，Zhang W J，Chen X F 2007 Acta Phys. Sin. 56 6169 (in Chinese) ［莫嘉琪、张伟江、陈贤峰 2007 56 6169］
[11] ］Mo J Q 2009 Chin. Phys. Lett. 26 010204
[12] ］Mo J Q 2009 Chin. Phys. Lett. 26 060202
[13] ］Mo J Q, Yao J S 2008 Acta Phys. Sin. 57 7419 (in Chinese) ［莫嘉琪、姚静荪 2008 57 7419］
[14] ］Mo J Q 2009 Acta Phys. Sin. 58 695 (in Chinese) ［莫嘉琪 2009 58 695］
[15] ］Mo J Q 2009 Acta Phys. Sin. 58 2930 (in Chinese) ［莫嘉琪 2009 58 2930］
[16] ］Mo J Q 2009 Sci. China Ser. G 52 1007
[17] ］Mo J Q，Zhang W J，He M 2006 Acta Phys. Sin. 55 3233 (in Chinese) ［莫嘉琪、张伟江、何铭 2007 55 3233］
[18] ］Mo J Q，Lin W T，Wang H，2008 Chin. Geogr. Sci. 18 193
[19] ］Mo J Q，Lin W T，Wang H 2007 Prog. Nat. Sci. 17 230
[20] ］Mo J Q，Lin W T 2008 Acta Phys. Sin. 57 6689 (in Chinese) ［莫嘉琪、林万涛 2008 57 6689］
[21] ］Mo J Q，Lin W T，Lin Y H 2007 Acta Phys. Sin. 56 3127 (in Chinese) ［莫嘉琪、林万涛、林一骅 2007 56 3127］
[22] ］Mo J Q，Lin W T 2008 Acta Phys. Sin. 57 6694 (in Chinese) ［莫嘉琪、林万涛 2008 57 6694］
[23] ］Mo J Q，Lin W T，Wang H 2007 Chin. Phys. 16 951
[24] ］Mo J Q，Lin W T 2008 Chin. Phys. B 17 370
[25] ］Mo J Q，Lin W T 2008 Chin. Phys. B 17 743
[26] ］Liao S J 2004 Beyond Perturbation: Introduction to the Homotopy Analysis Method (New York: CRC Press)
[27] ］He J H 2008 Int. J. Mod. Phys. B 22 3487
[28] ］De Jager E M，Jiang F R 1996 The Theory of Singular Perturbation (Amsterdam: North-Holland Publishing Co.)
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