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A class of coupled system of the El Niño-southern oscillation mechanism is studied. Using the singular perturbation theory and method, the outer solution and the initial layer corrective term of the model are solved. And then, the asymptotic expansion of the solution for the problem is obtained and the asymptotic behavior of solution is considered.
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Keywords:
- nonlinear /
- asymptotic solution /
- El Niñ
[1] Xue Y, Cane M A, Zebiak S E 1997 Monthly Weather Rev. 125 2043
[2] Wang C, Weisberg R H 1996 J. Climate 9 3132
[3] Wang C 2001 J. Climath 14 98
[4] Wang C 2001 Adv. Atmos. Sci. 18 674
[5] Zhou T J, Yu R, Li H, Wang B 2008 J. Climate 21 3833
[6] Zhou T J, Wu B, Wang B 2009 J. Climate 22 1159
[7] Zhou T J, Zou L 2010 J. Climate 23 6009
[8] Zhou T J, Zhang J 2011 J. Climate 24 1053
[9] Cabanes C, Huck T, De Verderce A G 2006 J. Phys. Oceanogyr. 36 1739
[10] Qiu B, Chen S M 2006 J. Phys. Oceanogyr. 36 1751
[11] Zhang Y C, Lu K C, Zhang M 2011 Sci. Meteorodogica Sin. 31 11 (in Chinese) [张永垂, 路凯程, 张 铭 2011 气象科学 31 11]
[12] Lu K C, Zhang Y C, Zhang M 2011 Sci. Meteorodogica Sin. 31 17 (in Chinese) [路凯程, 张永垂, 张 铭 2011 气象科学 31 17]
[13] Zhang Y C, Lu K C, Zhang M 2012 Clinmatic and Environmental Research 17 217 (in Chinese) [张永垂, 路凯程, 张铭 2012 气候与环境研究 17 217]
[14] Barbu L, Morosanu G 2007 Singularly Perturbed Boundary-Value Problems (Basel: Birkhauserm Verlag AG)
[15] Ramos M 2009 J. Math. Anal. Appl. 352 246
[16] D'Aprile T, Pistoia A 2010 J. Diff. Eqs. 248 556
[17] Faye L, Frenod E, Seck D 2011 Discrete Contin. Dyn. Sys. 29 1001
[18] Mo J Q 2009 Sci. China G 39 568
[19] Mo J Q 2009 Chin. Phys. Lett. 26 060202
[20] Mo J Q 2009 Chin. Phys. Lett. 26 010204
[21] Mo J Q, Lin Y H, Lin W T 2010 Acta Phys. Sin. 59 6701 (in Chinese) [莫嘉琪, 林一骅, 林万涛 2010 物理学报 59 6701]
[22] Mo J Q 2011 Acta Phys. Sin. 60 090203 (in Chinese) [莫嘉琪 2011 物理学报 60 090203]
[23] Mo J Q 2010 Commun. Theor. Phys. 53 440
[24] Mo J Q, Lin W T, Lin Y H 2011 Chin. Phys. B 20 070205
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[1] Xue Y, Cane M A, Zebiak S E 1997 Monthly Weather Rev. 125 2043
[2] Wang C, Weisberg R H 1996 J. Climate 9 3132
[3] Wang C 2001 J. Climath 14 98
[4] Wang C 2001 Adv. Atmos. Sci. 18 674
[5] Zhou T J, Yu R, Li H, Wang B 2008 J. Climate 21 3833
[6] Zhou T J, Wu B, Wang B 2009 J. Climate 22 1159
[7] Zhou T J, Zou L 2010 J. Climate 23 6009
[8] Zhou T J, Zhang J 2011 J. Climate 24 1053
[9] Cabanes C, Huck T, De Verderce A G 2006 J. Phys. Oceanogyr. 36 1739
[10] Qiu B, Chen S M 2006 J. Phys. Oceanogyr. 36 1751
[11] Zhang Y C, Lu K C, Zhang M 2011 Sci. Meteorodogica Sin. 31 11 (in Chinese) [张永垂, 路凯程, 张 铭 2011 气象科学 31 11]
[12] Lu K C, Zhang Y C, Zhang M 2011 Sci. Meteorodogica Sin. 31 17 (in Chinese) [路凯程, 张永垂, 张 铭 2011 气象科学 31 17]
[13] Zhang Y C, Lu K C, Zhang M 2012 Clinmatic and Environmental Research 17 217 (in Chinese) [张永垂, 路凯程, 张铭 2012 气候与环境研究 17 217]
[14] Barbu L, Morosanu G 2007 Singularly Perturbed Boundary-Value Problems (Basel: Birkhauserm Verlag AG)
[15] Ramos M 2009 J. Math. Anal. Appl. 352 246
[16] D'Aprile T, Pistoia A 2010 J. Diff. Eqs. 248 556
[17] Faye L, Frenod E, Seck D 2011 Discrete Contin. Dyn. Sys. 29 1001
[18] Mo J Q 2009 Sci. China G 39 568
[19] Mo J Q 2009 Chin. Phys. Lett. 26 060202
[20] Mo J Q 2009 Chin. Phys. Lett. 26 010204
[21] Mo J Q, Lin Y H, Lin W T 2010 Acta Phys. Sin. 59 6701 (in Chinese) [莫嘉琪, 林一骅, 林万涛 2010 物理学报 59 6701]
[22] Mo J Q 2011 Acta Phys. Sin. 60 090203 (in Chinese) [莫嘉琪 2011 物理学报 60 090203]
[23] Mo J Q 2010 Commun. Theor. Phys. 53 440
[24] Mo J Q, Lin W T, Lin Y H 2011 Chin. Phys. B 20 070205
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