Adv Search

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

Dissipative Travelling Wave Solution for El Niño Tropic Sea-air Coupled Oscillator

WEN Zhaohui,  LIN Wantao,  LIN Yihua,  MO Jiaqi

downloadPDF
文章导航 > Chinese Geographical Science  > 2010 >  20(3): 275-280
WEN Zhaohui, LIN Wantao, LIN Yihua, MO Jiaqi. Dissipative Travelling Wave Solution for El Niño Tropic Sea-air Coupled Oscillator[J]. 中国地理科学, 2010, 20(3): 275-280. doi: 10.1007/s11769-010-0275-x
引用本文: WEN Zhaohui, LIN Wantao, LIN Yihua, MO Jiaqi. Dissipative Travelling Wave Solution for El Niño Tropic Sea-air Coupled Oscillator[J]. 中国地理科学, 2010, 20(3): 275-280. doi: 10.1007/s11769-010-0275-x
shu
WEN Zhaohui, LIN Wantao, LIN Yihua, MO Jiaqi. Dissipative Travelling Wave Solution for El Niño Tropic Sea-air Coupled Oscillator[J]. Chinese Geographical Science, 2010, 20(3): 275-280. doi: 10.1007/s11769-010-0275-x
Citation: WEN Zhaohui, LIN Wantao, LIN Yihua, MO Jiaqi. Dissipative Travelling Wave Solution for El Niño Tropic Sea-air Coupled Oscillator[J]. Chinese Geographical Science, 2010, 20(3): 275-280. doi: 10.1007/s11769-010-0275-x
shu

Dissipative Travelling Wave Solution for El Niño Tropic Sea-air Coupled Oscillator

doi: 10.1007/s11769-010-0275-x
  • 1.

    Institute of Applied Mathematics, School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu 233030, China;

  • 2.

    State Key Laboratory of Numerical Modeling for Atmospheric and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China;

  • 3.

    Anhui Normal University, Wuhu 241000, China;

  • 4.

    Division of Computational Science, E-Institutes of Shanghai Universities at Shanghai Jiaotong Uinversity, Shanghai 200240, China

基金项目: Under the auspices of National Natural Science Foundation of China (No.40876010);Main Direction Program of Knowledge Innovation Programs of Chinese Academy of Sciences (No.KZCX2-YW-Q03-08);R & D Special Fund for Public Welfare Industry (meteorology) (No.GYHY200806010);LASG State Key Laboratory Special Fund;Foundation of E-Institutes of Shanghai Municipal Education Commission (No.E03004);Natural Science Foundation of Zhejiang Province (No.Y6090164)

Dissipative Travelling Wave Solution for El Niño Tropic Sea-air Coupled Oscillator

  • 1.

    Institute of Applied Mathematics, School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu 233030, China;

  • 2.

    State Key Laboratory of Numerical Modeling for Atmospheric and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China;

  • 3.

    Anhui Normal University, Wuhu 241000, China;

  • 4.

    Division of Computational Science, E-Institutes of Shanghai Universities at Shanghai Jiaotong Uinversity, Shanghai 200240, China

Funds: Under the auspices of National Natural Science Foundation of China (No.40876010);Main Direction Program of Knowledge Innovation Programs of Chinese Academy of Sciences (No.KZCX2-YW-Q03-08);R & D Special Fund for Public Welfare Industry (meteorology) (No.GYHY200806010);LASG State Key Laboratory Special Fund;Foundation of E-Institutes of Shanghai Municipal Education Commission (No.E03004);Natural Science Foundation of Zhejiang Province (No.Y6090164)

  • 摘要: El Niño and Southern Oscillation (ENSO) is an interannual phenomenon involved in the tropical Pacific sea-air interactions. An asymptotic method of solving equations for the ENSO model is proposed. Based on a class of oscillator of ENSO model and by employing a simple and valid method of the variational iteration, the coupled system for a sea-air oscillator model of interdecadal climate fluctuations is studied. Firstly, by introducing a set of functionals and computing the variationals, the Lagrange multipliers are obtained. And then, the generalized variational iteration expressions are constructed. Finally, by selecting appropriate initial iteration, and from the iterations expressions, the approximations of solution for the sea-air oscillator ENSO model are solved successively. The approximate dissipative travelling wave solution of equations for corresponding ENSO model is studied. It is proved from the results that the method of the variational iteration can be used for analyzing the sea surface temperature anomaly in the equatorial Pacific of the sea-air oscillator for ENSO model.
    Abstract: El Niño and Southern Oscillation (ENSO) is an interannual phenomenon involved in the tropical Pacific sea-air interactions. An asymptotic method of solving equations for the ENSO model is proposed. Based on a class of oscillator of ENSO model and by employing a simple and valid method of the variational iteration, the coupled system for a sea-air oscillator model of interdecadal climate fluctuations is studied. Firstly, by introducing a set of functionals and computing the variationals, the Lagrange multipliers are obtained. And then, the generalized variational iteration expressions are constructed. Finally, by selecting appropriate initial iteration, and from the iterations expressions, the approximations of solution for the sea-air oscillator ENSO model are solved successively. The approximate dissipative travelling wave solution of equations for corresponding ENSO model is studied. It is proved from the results that the method of the variational iteration can be used for analyzing the sea surface temperature anomaly in the equatorial Pacific of the sea-air oscillator for ENSO model.
  • [1] An S I,Wang B,2000.Interaction change of the structure of the ENSO mode and its impact on ENSO frequency.Journal of Climate,13(12):2044-2055.
    [2] Bobkova A S,2005.The behavior of solutions of miltidimensional singularly perturbed systems with one fast variable.Differential Equations,41(1):22-32.DOI:10.1007/s10625-005-0131-4
    [3] de Jager E M,Jiang Furu,1996.The Theory of Singular Perturbation.Amsterdam:North-Holland Publishing.
    [4] Gu Daifang,Philander S G H,1997.Interdecadal climate fluctuations that depend on exchanges between the tropics and extratropics.Science,275(7):805-807.DOI:10.1126/sciance.275.5301.805
    [5] He Jihuan,2002.Approximate Nonlinear Analytical Methods in Engineering and Sciences.Zhengzhou:Henan Science and Technology Publisher.(in Chinese)
    [6] He Jihuan,2006.Some asymptotic methods for strongly nonlinear equations.International Journal of Modern Physics,B20(10):1141-1199.
    [7] Lin Wantao,Ji Zhongzhen,Wang Bin,2002.A comparative analysis of computational stability for linear and non-linear evolution equations.Advances in Atmospheric Sciences,19(4):699-704.
    [8] Lin Wantao,Mo Jiaqi,2004.Asymptotic behavior of perturbed solution for simple coupled ocean-atmosphere model for ENSO.Chinese Science Bulletin,48(Ⅱ):5-7.
    [9] Lin Yihua,Ceng Qingcun,1999.Kelvin waves in a simple air-sea coupled model in the tropics.Progress in Natural Science,9(3):211-215.
    [10] Lin Yihua,Ji Zhongzhen,Zeng Qingcun,1999.Meridional wind forced low frequency disturbances in the tropical ocean.Progress in Natural Science,9(7):532-538.
    [11] Marques I,2006.Existence and asymptotic behavior of solutions for a class of nonlinear elliptic equations with Neumann Ondition.Nonlinear Analysis,61(1):21-40.
    [12] McPhaden M J,Zhang D,2002.Slowdown of the meridional overturning circulation in the upper Pacific Ocean.Nature,415(3):603-608.DOI:10.10381415603a
    [13] Mo Jiaqi,2009a.Analytic solution for a class of generalized Sine-Gordon perturbation equation.Acta Physics Sinica,58(5):2930-2933.(in Chinese)
    [14] Mo Jiaqi,2009b.A class of homotopic solving method for ENSO model.Acta Mathematica Scientia,29(1):101-109.
    [15] Mo Jiaqi,2009c.Approximate solution of homotopic mapping to solitary for generalized nonlinear KdV system.Chinese Physics Letter,26(1):010204.
    [16] Mo Jiaqi,2009d.A variational iteration solving method for a class of generalized Boussinesq equations.Chinese Physics Letter,26(6):060202.
    [17] Mo Jiaqi,2009e.Homotopic mapping solving method for gain fluency of laser pulse amplifier.Science in China(Ser.G),39(5):568-661.
    [18] Mo Jiaqi,Lin Wantao,2008a.Asymptotic solution for a class of sea-air oscillator model for El-Nino-southern oscillation.Chinese Physics,17(2):370-372.
    [19] Mo Jiaqi,Lin Wantao,2008b.The homotopic method of travelling wave solution for El Nino tropic sea-air coupled oscillator.Chinese Physics,17(3):743-746.
    [20] Mo Jiaqi,Wang Hui,Lin Wantao,2006a.Singularly perturbed solution of a sea-air oscillator model for the ENSO.Chinese Physics,15(7):1450-1453.
    [21] Mo Jiaqi,Wang Hui,Lin Wantao,2006b.Homotopic method of solving a class of El Nino/La Nino Southern Oscillation sea-air oscillator.Chinese Physics,15(9):1927-1931.
    [22] Mo Jiaqi,Wang Hui,Lin Wantao et al.,2006c.Varitional iteration method foe solving the mechanism of the equatorial eastern El Ni(n)o-Southern Oscillation.Chinese Physics,15(4):671-675.
    [23] Mo Jiaqi,Lin Wantao,Wang Hui,2007a.Variational iteration solving method of a sea-air oscillator model for the ENSO.Progress in Natural Science,17(2):230-232.
    [24] Mo Jiaqi,Lin Wantao,Wang Hui,2007b.Variational iteration method for solving perturbed mechanism of western boundary undercurrents in the Pacific.Chinese Physics,16(4):951-964.
    [25] Ni Weiming,Wei Juncheng,2006.On positive solution concentrating on spheres for the Gierer-Meinhardt system.Journal of Differential Equations,221(1):158-189.
    [26] Nonaka M,Xie Shangping,McCreary J P,2001.Decadal variations in the subtropical cells and equatorial Pacific SST.Geophysical Research Letters,220(7):1116-1119.
    [27] Wang Bin,2002.A comparative analysis of computational stability for linear and non-linear evolution equations.Advances in Atmospheric Sciences,219(4):699-704.
  • [1] Jinghui QI, Shuwen NIU, Chenxi YE, Luojia WANG, Yongna WEI, Yuzhao WEN, Shuling ZHAO.  Identifying the Geography and Determinants of O2O Online Retailers in Megacity in Central China: A Case Study of Zhengzhou City . Chinese Geographical Science, 2021, 31(5): 931-950. doi: 10.1007/s11769-021-1212-x
    [2] ZHANG Guangzong, WU Mengquan, ZHANG Anding, XING Qianguo, ZHOU Min, ZHAO Deheng, SONG Xiaodong, YU Zhilu.  Influence of Sea Surface Temperature on Outbreak of Ulva prolifera in the Southern Yellow Sea, China . Chinese Geographical Science, 2020, 30(4): 631-642. doi: 10.1007/s11769-020-1129-9
    [3] YUAN Shuai, LIU Chengyu, LIU Xueqin.  Practical Model of Sea Ice Thickness of Bohai Sea Based on MODIS Data . Chinese Geographical Science, 2018, 28(5): 863-872. doi: 10.1007/s11769-018-0986-y
    [4] CHEN Tan, DENG Shulin, GAO Yu, QU Lean, LI Manchun, CHEN Dong.  Characterization of Air Pollution in Urban Areas of Yangtze River Delta, China . Chinese Geographical Science, 2017, 27(5): 836-846. doi: 10.1007/s11769-017-0900-z
    [5] ZUO Xiuling, SU Fenzhen, WU Wenzhou, CHEN Zhike, SHI Wei.  Spatial and Temporal Variability of Thermal Stress to China's Coral Reefs in South China Sea . Chinese Geographical Science, 2015, 25(2): 159-173. doi: 10.1007/s11769-015-0741-6
    [6] WANG Yan, LIU Ruhai, FAN Dejiang et al..  Distribution and Accumulation Characteristics of Heavy Metals in Sediments in Southern Sea Area of Huludao City, China . Chinese Geographical Science, 2013, 23(2): 194-202.
    [7] DU Xile, LU Changhe, WANG Hairong, MA Jianhua.  Trends of Urban Air Pollution in Zhengzhou City in 1996–2008 . Chinese Geographical Science, 2012, 22(4): 402-413.
    [8] ZHANG Lijuan, LIU Dong, YAN Xiaodong et al.  Research on analyzing and forecasting the upper air climate change over Harbin . Chinese Geographical Science, 2011, 21(1): 65-73.
    [9] FENG Lihua, HONG Weihu.  Characteristics of Drought and Flood in Zhejiang Province,East China:Past and Future . Chinese Geographical Science, 2007, 17(3): 257-264. doi: 10.1007/s11769-007-0257-9
    [10] XUE Ji-bin, ZHONG Wei, ZHEN Zhi-guo, LIU Wei.  DRY-WET EVOLUTION IN GUANGDONG PROVINCE DURING LAST 500 YEARS . Chinese Geographical Science, 2006, 16(1): 63-69.
    [11] GUO Ping, XIE Zhong-lei, LI Jun, KANG Chun-li, LIU Jian-hua.  RELATIONSHIPS BETWEEN FRACTIONATIONS OF Pb, Cd, Cu, Zn AND Ni AND SOIL PROPERTIES IN URBAN SOILS OF CHANGCHUN, CHINA . Chinese Geographical Science, 2005, 15(2): 179-185.
    [12] MO Jia-qi, LIN Yi-hua, WANG Hui.  VARIATIONAL ITERATION SOLVING METHOD FOR SEA-AIR OSCILLATOR MODEL OF INTERDECADAL CLIMATE FLUCTUATIONS . Chinese Geographical Science, 2005, 15(3): 227-230.
    [13] LIU Zhen-qian, LIU Hong-yu, LU Xian-guo.  STUDY ON WETLAND RESOURCES IN DELTAS AROUND BOHAI SEA . Chinese Geographical Science, 2000, 10(2): 151-158.
    [14] 钱步东.  PRECIPITATION PATTERNS IN FLOOD SEASON OVER CHINA ASSOCIATED WITH THE EL NI?O/SOUTHERN OSCILlATION . Chinese Geographical Science, 1997, 7(3): 220-228.
    [15] 刘南威.  THE NOMENCLATURE OF THE SOUTH CHINA SEA ISLANDS IN ANCIENT CHINA . Chinese Geographical Science, 1995, 5(1): 30-38.
    [16] 章新平, 施雅风, 姚檀栋.  RELATION BETWEEN δ18O IN ATMOSPHERIC PRECIPITATION AND TEMPERATURE AND PRECIPITATION . Chinese Geographical Science, 1995, 5(4): 289-299.
    [17] 章新平, 范钟秀, 周恩济.  INFLUENCE OF SEA-AIR INTERACTION ON THE DISCHARGE OF FLOOD SEASON IN THE UPPER REACHES OF THE CHANGJIANG RIVER . Chinese Geographical Science, 1994, 4(1): 31-42.
    [18] 曾昭璇, 刘南威, 胡男, 丘世钧, 黄山, 李平日, 方国祥, 黄光庆, 祝功武.  SEA LEVEL RISE OF THE ZHUJIANG RIVER DELTA AND NEOTECTONICS . Chinese Geographical Science, 1993, 3(1): 44-50.
    [19] 王景华.  BACKGROUND VALUES AND TREND DISTRIBUTION OF Cu, Zn AND Ni IN SOILS IN CHINA . Chinese Geographical Science, 1992, 2(4): 357-366.
    [20] 任美锷, 史运良.  SEDIMENT DISCHARGE OF THE HUANGHE RIVER AND ITS EFFECT ON SEDIMENTATION OF THE BOHAI SEA AND THE YELLOW SEA . Chinese Geographical Science, 1991, 1(1): 1-18.
  • 加载中
WeChat 点击查看大图
计量
  • 文章访问数:  1788
  • HTML全文浏览量:  8
  • PDF下载量:  826
  • 被引次数: 0
出版历程
  • 收稿日期:  2009-12-25
  • 修回日期:  2010-02-21
  • 刊出日期:  2010-04-01

Dissipative Travelling Wave Solution for El Niño Tropic Sea-air Coupled Oscillator

doi: 10.1007/s11769-010-0275-x
  • 1. Institute of Applied Mathematics, School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu 233030, China;
  • 2. State Key Laboratory of Numerical Modeling for Atmospheric and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China;
  • 3. Anhui Normal University, Wuhu 241000, China;
  • 4. Division of Computational Science, E-Institutes of Shanghai Universities at Shanghai Jiaotong Uinversity, Shanghai 200240, China
    • 基金项目:  Under the auspices of National Natural Science Foundation of China (No.40876010);Main Direction Program of Knowledge Innovation Programs of Chinese Academy of Sciences (No.KZCX2-YW-Q03-08);R & D Special Fund for Public Welfare Industry (meteorology) (No.GYHY200806010);LASG State Key Laboratory Special Fund;Foundation of E-Institutes of Shanghai Municipal Education Commission (No.E03004);Natural Science Foundation of Zhejiang Province (No.Y6090164)
  • 收稿日期: 2009-12-25
  • 修回日期: 2010-02-21
  • 刊出日期: 2010-04-01

摘要: El Niño and Southern Oscillation (ENSO) is an interannual phenomenon involved in the tropical Pacific sea-air interactions. An asymptotic method of solving equations for the ENSO model is proposed. Based on a class of oscillator of ENSO model and by employing a simple and valid method of the variational iteration, the coupled system for a sea-air oscillator model of interdecadal climate fluctuations is studied. Firstly, by introducing a set of functionals and computing the variationals, the Lagrange multipliers are obtained. And then, the generalized variational iteration expressions are constructed. Finally, by selecting appropriate initial iteration, and from the iterations expressions, the approximations of solution for the sea-air oscillator ENSO model are solved successively. The approximate dissipative travelling wave solution of equations for corresponding ENSO model is studied. It is proved from the results that the method of the variational iteration can be used for analyzing the sea surface temperature anomaly in the equatorial Pacific of the sea-air oscillator for ENSO model.

English Abstract

WEN Zhaohui, LIN Wantao, LIN Yihua, MO Jiaqi. Dissipative Travelling Wave Solution for El Niño Tropic Sea-air Coupled Oscillator[J]. 中国地理科学, 2010, 20(3): 275-280. doi: 10.1007/s11769-010-0275-x
引用本文: WEN Zhaohui, LIN Wantao, LIN Yihua, MO Jiaqi. Dissipative Travelling Wave Solution for El Niño Tropic Sea-air Coupled Oscillator[J]. 中国地理科学, 2010, 20(3): 275-280. doi: 10.1007/s11769-010-0275-x
shu
WEN Zhaohui, LIN Wantao, LIN Yihua, MO Jiaqi. Dissipative Travelling Wave Solution for El Niño Tropic Sea-air Coupled Oscillator[J]. Chinese Geographical Science, 2010, 20(3): 275-280. doi: 10.1007/s11769-010-0275-x
Citation: WEN Zhaohui, LIN Wantao, LIN Yihua, MO Jiaqi. Dissipative Travelling Wave Solution for El Niño Tropic Sea-air Coupled Oscillator[J]. Chinese Geographical Science, 2010, 20(3): 275-280. doi: 10.1007/s11769-010-0275-x
shu

    全文HTML

参考文献 (27)

目录

    /

    返回文章
    返回

    Copyright © Editorial office of Chinese Geographical Science

    Tel: +86-0431-85542219   Email: egeoscien@neigae.ac.cn