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The tropical sea-air oscillator is a complicated natural phenomenon. In this paper, based on a sea-air oscillator model, by a new method of combining the undetermined coefficients with the perturbation theory the asymptotic traveling wave solution of the corresponding model is obtained.
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Keywords:
- nonlinear /
- asymptotic solution /
- sea-air oscillator
[1] McWilliams J C, Gent P R 1991 J. Atmos. Sci. 35 962
[2] Hu Yinqiao 2002 Introduction to AtmosphericTthermodynamics (in Chinese) (Beijing: Geosci. Press, China)
[3] Philander S G H, Yamagata T, Pacanowski R C 1984 J. Atmos. Sci. 41 604
[4] Gill A E 1985 Coupled Ocean-Atmosphere Models 40 303
[5] Jin F F, Neelin J D 1993 J. Atmos. Sci 50 3523
[6] Jin F F, Neelin J D, Ghil M 1994 Science 264 70
[7] Wang B, Wang Y 1996 J. Climate. 9 1586
[8] Bjerknes J 1966 Tellus 18 820
[9] Cane M A, M黱nich M, Zebiak S E 1990 J. Atmos. Sci. 47 1562
[10] Wang B, Barcilon A, Fang Z 1999 J. Atmos. Sci. 56 5
[11] Wang C 2001 Adv. Atmospheric Sci. 18 674
[12] Lin W T, Mo J Q 2003 Chinese Science Bulletin 48 5
[13] Zhou X C, Lin Y H, Lin W T, Mo J Q 2009 Acta Oceanologica Sin. 28 1
[14] Zhou X C, Lin Y H, Lin W T, Mo J Q 2009 Chin. Phys. B 18 4603
[15] Zhou X C, Lin W T, Lin Y H, Mo J Q 2010 Acta. Phys. Sin. 59 2173 (in Chinese)
[16] Mo J Q, Lin W T, Lin Y H 2009 Chin. Phys. B 18 3624
[17] Mo J Q, Lin W T, Lin Y H 2010 Chin. Geographical Sci. 20 383
[18] Mo J Q, Lin Y H, Lin W T 2010 Acta. Phys. Sin. 59 6701 (in Chinese)
[19] Xie F, Lin W T, Lin Y H, Mo J Q 2011 Chin. Phys. B 20 010208
[20] Barbu L, Morosanu G 2007 Singularly Perturbed Boundary-Value Problems (Basel: Birkhauserm Verlag AG.)
[21] D'Aprile T, Pistoia A 2010 J. Differ. Eqns. 248 556
[22] Ei Shin-Ichiro, Matsuzawa H 2010 Discrete Contin. Dyn. Syst 26 910
[23] Suzuki R 2010 Adv. Differ. Eqns. 15 283
[24] Mo J Q 2009 Science in China, Ser. G 52 1007
[25] Mo J Q, Yao J S, Tang R R Commun. Theor. Phys. 54 27
[26] Mo J Q, Chen X F 2010 Chin. Phys. B 10 100203
[27] Xie F, Lin W T, Lin Y H, Mo J Q 2011 Acta. Phys. Sin. 60 010201 (in Chinese)
[28] Mo J Q, Chen X F 2010 Chin. Phys. B 10 100203
[29] de Jager E M, Jiang Furu 1966 The Theory of Singular Perturbation, (Amsterdam: North- Holland Publishing Co.)
[30] Barbu L, Morosanu G 2007 Singularly Perturbed Boundary-Value Problems (Basel: Birkhauser Verlag AG)
-
[1] McWilliams J C, Gent P R 1991 J. Atmos. Sci. 35 962
[2] Hu Yinqiao 2002 Introduction to AtmosphericTthermodynamics (in Chinese) (Beijing: Geosci. Press, China)
[3] Philander S G H, Yamagata T, Pacanowski R C 1984 J. Atmos. Sci. 41 604
[4] Gill A E 1985 Coupled Ocean-Atmosphere Models 40 303
[5] Jin F F, Neelin J D 1993 J. Atmos. Sci 50 3523
[6] Jin F F, Neelin J D, Ghil M 1994 Science 264 70
[7] Wang B, Wang Y 1996 J. Climate. 9 1586
[8] Bjerknes J 1966 Tellus 18 820
[9] Cane M A, M黱nich M, Zebiak S E 1990 J. Atmos. Sci. 47 1562
[10] Wang B, Barcilon A, Fang Z 1999 J. Atmos. Sci. 56 5
[11] Wang C 2001 Adv. Atmospheric Sci. 18 674
[12] Lin W T, Mo J Q 2003 Chinese Science Bulletin 48 5
[13] Zhou X C, Lin Y H, Lin W T, Mo J Q 2009 Acta Oceanologica Sin. 28 1
[14] Zhou X C, Lin Y H, Lin W T, Mo J Q 2009 Chin. Phys. B 18 4603
[15] Zhou X C, Lin W T, Lin Y H, Mo J Q 2010 Acta. Phys. Sin. 59 2173 (in Chinese)
[16] Mo J Q, Lin W T, Lin Y H 2009 Chin. Phys. B 18 3624
[17] Mo J Q, Lin W T, Lin Y H 2010 Chin. Geographical Sci. 20 383
[18] Mo J Q, Lin Y H, Lin W T 2010 Acta. Phys. Sin. 59 6701 (in Chinese)
[19] Xie F, Lin W T, Lin Y H, Mo J Q 2011 Chin. Phys. B 20 010208
[20] Barbu L, Morosanu G 2007 Singularly Perturbed Boundary-Value Problems (Basel: Birkhauserm Verlag AG.)
[21] D'Aprile T, Pistoia A 2010 J. Differ. Eqns. 248 556
[22] Ei Shin-Ichiro, Matsuzawa H 2010 Discrete Contin. Dyn. Syst 26 910
[23] Suzuki R 2010 Adv. Differ. Eqns. 15 283
[24] Mo J Q 2009 Science in China, Ser. G 52 1007
[25] Mo J Q, Yao J S, Tang R R Commun. Theor. Phys. 54 27
[26] Mo J Q, Chen X F 2010 Chin. Phys. B 10 100203
[27] Xie F, Lin W T, Lin Y H, Mo J Q 2011 Acta. Phys. Sin. 60 010201 (in Chinese)
[28] Mo J Q, Chen X F 2010 Chin. Phys. B 10 100203
[29] de Jager E M, Jiang Furu 1966 The Theory of Singular Perturbation, (Amsterdam: North- Holland Publishing Co.)
[30] Barbu L, Morosanu G 2007 Singularly Perturbed Boundary-Value Problems (Basel: Birkhauser Verlag AG)
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