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Homotopic mapping solving method of the reduces equation for Kelvin waves |
Mo Jia-Qi(莫嘉琪)a)b)†, Lin Yi-Hua(林一骅)c), and Lin Wan-Tao(林万涛)c) |
a Department of Mathematics, Anhui Normal University, Wuhu 241000, Chinab Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240, China; c LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China |
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Abstract A reduces equation of the Kelvin wave is considered. By using the homotopic mapping solving method, the approximate solution is obtained. The homptopic mapping method is an analytic method, the obtained solution can analyse operations sequentially.
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Received: 01 August 2009
Revised: 22 August 2009
Accepted manuscript online:
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PACS:
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92.60.hh
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(Acoustic gravity waves, tides, and compressional waves)
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92.60.hk
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(Convection, turbulence, and diffusion)
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Fund: Project supported by the National
Natural Science Foundation of China (Grant No.~40876010), the
Knowledge Innovation Project of Chinese Academy of
Sciences (Grant No.~KZCX2-YW-Q03-08), LASG State Key Laboratory
Special Fund, E-Institutes of Shanghai Municipal Education
Commission (Grant No.~E03004) and the Natural Science Foundation of Zhejiang Province,
China (Grant No.~Y6090L4). |
Cite this article:
Mo Jia-Qi(莫嘉琪), Lin Yi-Hua(林一骅), and Lin Wan-Tao(林万涛) Homotopic mapping solving method of the reduces equation for Kelvin waves 2010 Chin. Phys. B 19 030202
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[1] |
Emanuel K A 1979 J. Atm. Sci . 36 2425
|
[2] |
Sun W Y 1995 Q. J. Meteorol. Soc . 121 419
|
[3] |
Guarguaglini F R 2007 Commun. Partial Diff. Equs. 32 163
|
[4] |
Hovhannisyan G and Vulanovic R 2008 Nonlinear Stud. 15 297
|
[5] |
Abid I, Jieli M and Trabelsi N 2008 Anal. Appl. Singap. 6 213
|
[6] |
Graef J R and Kong L 2008 Math. Proc. Camb. Philos. Soc. 145 489
|
[7] |
Barbu L and Cosma E 2009 J. Math. Anal. Appl. 351 392
|
[8] |
Mo J Q 2009 Adv. Math. 38 227
|
[9] |
Mo J Q and Lin W T 2008 J. Sys. Sci. & Complexity 20 119
|
[10] |
Mo J Q and Wang H 2007 Acta Ecologica Sinica 27 4366
|
[11] |
Mo J Q 2009 Science in China Ser G 39 568
|
[12] |
Mo J Q 2009 Acta Phys. Sin. 58 695 (inChinese)
|
[13] |
Mo J Q and Chen Y 2009 Acta Phys. Sin. 58 4379 (in Chinese)
|
[14] |
Mo J Q 2009 Chin. Phys. Lett. 26 010204
|
[15] |
Mo J Q 2009 Chin. Phys. Lett. 26 060202
|
[16] |
Mo J Q, Zhang W J and He M 2006 Acta Phys. Sin. 55 3233 (in Chinese)
|
[17] |
Mo J Q and Lin W T 2008 Chin. Phys. B 17 370
|
[18] |
Mo J Q, Lin W T and Wang H 2007 Prog. Nat.Sci. 17 230
|
[19] |
Mo J Q, Lin W T and Wang H 2008 Chin. GeographicalSci. 18 193
|
[20] |
Mo J Q 2009 Acta Math. Sci. 29 101
|
[21] |
Mo J Q and Lin W T 2008 Chin. Phys. B 17 743
|
[22] |
Mo J Q, Lin W T and Lin Y H 2009 Chin. Phys. B 18 3624
|
[23] |
Mo J Q and Lin W T 2008 Chin. Phys. B 17 370
|
[24] |
Raymond W H 2001 Dynamics Atmospheres andOceans 34 23
|
[25] |
He J H 1999 Appl. Mech. Eingrg. 178 257
|
[26] |
He J H 2002 Int. J. Non-linear Mechanics 35 37
|
[27] |
Liao S J 2004 Beyond Perturbation: Introduction tothe Homotopy Analysis Method (New York: CRC Press Co)
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