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KdV方程的第二次导出 被引量:2

The Second Birth of the KdV Equation Squares Estimator is BLUE
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摘要 考察R ay le igh1876年关于孤立波的论文及其影响.R ay le igh独立得到了与K dV方程等价的孤立波方程及其孤立波解,建立了比较合理的孤立波近似理论;他的这一工作对于人们认识孤立波的存在性产生积极影响,并对K ortew eg和de V ries1895年的论文有重要影响. to examine the paper of Lord Rayleigh (1876) and its influence. Rayleigh acquired a solitary wave equation which is equivalent to the KdV equation and its solitary wave solution independently. This work helped to assure the existence of the solitary waves, and influenced Korteweg and de Vries' later famous work.
作者 王丽霞
出处 《数学的实践与认识》 CSCD 北大核心 2006年第8期345-349,共5页 Mathematics in Practice and Theory
基金 国家自然科学基金(10371119)
关键词 LORD RAYLEIGH 孤立波 近似理论 KDV方程 Lord Rayleigh solitary wave approximate theory KdV equation
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参考文献10

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  • 2Miles John W.The Korteweg-de Vries equation:a historical essay[J].Journal of Fluid Mechanics,1981,106:131-147. 被引量:1
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二级参考文献11

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共引文献1

同被引文献15

  • 1王丽霞.格林与水波[J].西北大学学报(自然科学版),2006,36(3):512-516. 被引量:2
  • 2Earnshaw S. The mathematical theory of the two great solitary waves of the fierst order [J]. CambridgePhilosophical Society, Transactions. 1849.8 : 326---341.1845. 被引量:1
  • 3Stokes G G. Report on Recent Researches in Hydrodynamics[C]. British Association for the Advancement ofScience, Annual report, 1846, Part I : 157-- 187. 被引量:1
  • 4Stokes G. On the Theory of Oscillatory Waves[M]. Transactions of the Cambridge Philosophical Society. 1847. 441. 被引量:1
  • 5Larmor 1970, vol. 1, pp. 381--82; Wilson 1990, vol. l: letters 53.54. 被引量:1
  • 6J. W.Miles. The Korteweg-de Vries equation: a historical essay. Journal of fluid mechanics (J) , 1981,106,131-147. 被引量:1
  • 7F. van tier Blij. Some details of the history of the Korteweg-de Vries equation. Nieuw archief voor wiskunde (3), XXVI(1978):54-64. 被引量:1
  • 8D. J. Korteweg & G. de Vries. On the Change of Form of Long Waves advancing in a Rectangular Canal, and on a New Type of Long Stationary Waves, Phi. Mag. (J) , 39(1895),422-443. 被引量:1
  • 9O. Darrigol. The Spirited Horse, the Engineer, and the Mathematician: Water Waves in Nineteenth-Century Hydrodynamics. Arch. Hist. Exact Sci. (J) , 2003,58:12-95. 被引量:1
  • 10A. D. D. Craik. The Origins of Water Wave Theory. Annu. Rev. Fluid Mech. (J) , 2004,36:1-28. (1) N.M. Ferrers. Mathematical Papers of the Late George Green (C) , Mac. and co., 1871. 被引量:1

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