中国物理B ›› 2010, Vol. 19 ›› Issue (3): 30202-030202.doi: 10.1088/1674-1056/19/3/030202

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Homotopic mapping solving method of the reduces equation for Kelvin waves

莫嘉琪1, 林一骅2, 林万涛2   

  1. (1)Department of Mathematics, Anhui Normal University, Wuhu 241000, China;Division of Computational Science, E-Institutes of Shanghai Universities, at SJTU, Shanghai 200240, China; (2)LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China
  • 收稿日期:2009-08-01 修回日期:2009-08-22 出版日期:2010-03-15 发布日期:2010-03-15
  • 基金资助:
    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).

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)   

  1. 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
  • Received:2009-08-01 Revised:2009-08-22 Online:2010-03-15 Published:2010-03-15
  • Supported by:
    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).

摘要: 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.

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.

Key words: homotopic mapping, approximate solution, Kelvin wave

中图分类号:  (Acoustic gravity waves, tides, and compressional waves)

  • 92.60.hh
92.60.hk (Convection, turbulence, and diffusion)