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A air-sea coupled dynamical system describing the oscillating physical mechanism of ENSO is studied. Using the modified variational iteration method (MVIM), the approximate expansions of the solution for corresponding problem are obtained effectively. And the numerical results show that the approximate solutions from the MVIM method are highly accurate by comparson with the exact solution of the model in a special case.
[1] Feng G L, Dong W J, Jia X J, Cao H X 2002 Acta Phys. Sin. 51 1181 (in Chinese)[封国林,董文杰,贾晓静,曹鸿兴 2002 51 1181]
[2] Feng G L, Dai X G, Wang A H, Chou J F 2001 Acta Phys. Sin. 50 606 (in Chinese)[封国林,戴新刚,王爱慧,丑纪范 2001 50 606]
[3] Feng G L, Dong W J 2005 Acta Meteo. Sin. 63 864 (in Chinese)[封国林,董文杰 2005 气象学报 63 864]
[4] Liu S K, Fu Z T, Liu S D 2002 Acta Phys. Sin. 51 10 (in Chinese)[刘式适,傅遵涛,刘式达 2002 51 10]
[5] Zhang J S, Xiao X C 2000 Acta Phys. Sin. 49 1221 (in Chinese)[张家树,肖先赐 2000 49 1221]
[6] Wang B 1999 J. Atmos. Sci. 56 5
[7] Hong L, Xu J X 2001 Acta Phys. Sin. 50 612 (in Chinese)[洪灵,徐健学 2001 50 612]
[8] Chen S H, Liu J, Xie J, Lu J A 2002 Chin. Phys. 11 233
[9] Li Z, Han C Z 2002 Chin. Phys. 11 9
[10] Lü J H, Zhou T S, Zhang S C 2002 Chin. Phys. 11 12
[11] He J H 1999 Int. J. Nonl. Mech. 34 699
[12] He J H 1998 Comp. Meth. Appl. Mech. Eng. 167 57
[13] He J H 1997 Commun. Nonl. Sci. Numer. Simulat. 2 235
[14] He J H 2002 Approximate Analytical Methods in Engineering and Sciences (Zhengzhou : Henan Science and Technology Publisher)(in Chinese)[何吉欢 2002 工程和科学计算中的近似非线性分析方法(郑州:河南科学技术出版社)]
[15] He J H 1999 Comp. Meth. Appl. Mech. Eng. 178 257
[16] He J H 2000 Int. J. Nonl. Mech. 35 37
[17] Mo J Q, Lin W T 2004 Acta Phys. Sin. 53 3245 (in Chinese)[莫嘉琪,林万涛 2004 53 3245]
[18] Mo J Q, Lin W T 2005 Acta Phys. Sin. 54 1081 (in Chinese)[莫嘉琪,林万涛 2005 54 1081]
[19] Mo J Q,Wang H, LinWT 2006 Acta Phys. Sin. 55 6 (in Chinese)[莫嘉琪,王辉, 林万涛 2006 55 6]
[20] Mo J Q, Wang H, Lin W T 2006 Acta Phys. Sin. 55 3229 (in Chinese)[莫嘉琪,王辉,林万涛 2006 55 3229]
[21] He J H 2007 Comput. Math. Appl. 54 881
[22] Mo J Q, Lin W T, Zhu J 2006 Adv. Math. 35 232
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[1] Feng G L, Dong W J, Jia X J, Cao H X 2002 Acta Phys. Sin. 51 1181 (in Chinese)[封国林,董文杰,贾晓静,曹鸿兴 2002 51 1181]
[2] Feng G L, Dai X G, Wang A H, Chou J F 2001 Acta Phys. Sin. 50 606 (in Chinese)[封国林,戴新刚,王爱慧,丑纪范 2001 50 606]
[3] Feng G L, Dong W J 2005 Acta Meteo. Sin. 63 864 (in Chinese)[封国林,董文杰 2005 气象学报 63 864]
[4] Liu S K, Fu Z T, Liu S D 2002 Acta Phys. Sin. 51 10 (in Chinese)[刘式适,傅遵涛,刘式达 2002 51 10]
[5] Zhang J S, Xiao X C 2000 Acta Phys. Sin. 49 1221 (in Chinese)[张家树,肖先赐 2000 49 1221]
[6] Wang B 1999 J. Atmos. Sci. 56 5
[7] Hong L, Xu J X 2001 Acta Phys. Sin. 50 612 (in Chinese)[洪灵,徐健学 2001 50 612]
[8] Chen S H, Liu J, Xie J, Lu J A 2002 Chin. Phys. 11 233
[9] Li Z, Han C Z 2002 Chin. Phys. 11 9
[10] Lü J H, Zhou T S, Zhang S C 2002 Chin. Phys. 11 12
[11] He J H 1999 Int. J. Nonl. Mech. 34 699
[12] He J H 1998 Comp. Meth. Appl. Mech. Eng. 167 57
[13] He J H 1997 Commun. Nonl. Sci. Numer. Simulat. 2 235
[14] He J H 2002 Approximate Analytical Methods in Engineering and Sciences (Zhengzhou : Henan Science and Technology Publisher)(in Chinese)[何吉欢 2002 工程和科学计算中的近似非线性分析方法(郑州:河南科学技术出版社)]
[15] He J H 1999 Comp. Meth. Appl. Mech. Eng. 178 257
[16] He J H 2000 Int. J. Nonl. Mech. 35 37
[17] Mo J Q, Lin W T 2004 Acta Phys. Sin. 53 3245 (in Chinese)[莫嘉琪,林万涛 2004 53 3245]
[18] Mo J Q, Lin W T 2005 Acta Phys. Sin. 54 1081 (in Chinese)[莫嘉琪,林万涛 2005 54 1081]
[19] Mo J Q,Wang H, LinWT 2006 Acta Phys. Sin. 55 6 (in Chinese)[莫嘉琪,王辉, 林万涛 2006 55 6]
[20] Mo J Q, Wang H, Lin W T 2006 Acta Phys. Sin. 55 3229 (in Chinese)[莫嘉琪,王辉,林万涛 2006 55 3229]
[21] He J H 2007 Comput. Math. Appl. 54 881
[22] Mo J Q, Lin W T, Zhu J 2006 Adv. Math. 35 232
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