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2N+1阶KdV型方程的Adomian近似解析解

Adomian Approximate Analytic Solution for the 2N+1 Order KdV-type Equation
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摘要 利用Adomian分解法,给出2N+1阶KdV型方程的近似解析解.将Adomian近似解与精确解进行比较,结果表明,近似解具有很高的精确度,收敛于精确解的速度也很快. In this paper, the Adomian approximate analytic solution for the 2N+1 order KdV-type equation is obtained by use of the new algorithm for computing the Adomian polynomials. The method is simple and the approximate solution convergence to the real solution very quickly. Compared with exact solutions,it shows that the approximate solution has the advantages of high accuracy.
出处 《内蒙古师范大学学报(自然科学汉文版)》 CAS 2010年第3期238-241,共4页 Journal of Inner Mongolia Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(10761005) 内蒙古自然科学基金资助项目(200408020103)
关键词 ADOMIAN分解法 KDV方程 Adomian近似解 Adornian decomposition method KdV equation Adomian approximate analytic solution
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参考文献9

  • 1Ablowitz M J.Clarkson P A Solitons.Nonlinear Evolution Equations and Inverse Scattering[M].Cambridge:Cambridge University Press.1991.
  • 2Matveev V B.Salle M A.Darboux Transformation and Solitons[M].Berlin:Springer.1991.
  • 3Hirota R.Satsuma J.Nonlinear evolution equations generated from the Backlund transfor mation for the Boussinesq equation[J].Prog Theor Phys.1997,57:797-807.
  • 4Hirota R.Exact solution of the KdV equation for multiple collisions of solitons[J].Phys Rev Lett,1971,27:1192-1194.
  • 5HU X B.Clarkson P A.Rational solutions of a differential-difference KdV equation,the Toda equation and the discrete KdV equation[J].J Phys A:Math Gen,1995,28:5009-5016.
  • 6Cao C W.Geng X G,Wang H Y.Algebro-geometric solution of the 2+1 dimensional Burgers equation with a discrete variable[J].Math Phys,2002,43:621-643.
  • 7斯琴,斯仁道尔吉.同伦摄动法求KdV方程和Burgers方程的近似解[J].内蒙古师范大学学报(自然科学汉文版),2008,37(3):381-384. 被引量:10
  • 8闫振亚.2N+1阶KdV型方程的孤子解和周期解[J].烟台大学学报(自然科学与工程版),2000,13(2):86-90. 被引量:1
  • 9朱佐农.2N+1阶KdV型方程的孤波解[J].物理学报,1996,45(11):1777-1781. 被引量:3

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