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Original Articles

On the solution of a korteweg-de vries like equation by the decomposition method

Pages 531-539 | Received 25 Mar 1998, Published online: 19 Mar 2007

References

  • Adomian , G. 1994 . Solving Frontier Problems of Physics: The decomposition method , Boston : Kluer Academic Publishers .
  • Adomian , G. and Rach , R. 1992 . Noise Terms in Decomposition Solution Series . Computers Math. Appl. , 24 ( 11 ) : 61 – 64 .
  • Adomian , G. 1988 . A Review of the Decomposition Method in Applied Mathematics . J. Math. Anal. Appl. , 135 ( 11 ) : 501 – 544 .
  • Adomian , G. 1986 . Nonlinear Stochastic Operator Equations , San Diego, CA : Academic Press .
  • Whitham , G. B. 1974 . Linear and Nonlinear Waves , California : John Wiley & Sons .
  • Wazwaz , A. M. 1997 . Necessary Conditions for the Appearance of Noise Terms in Decomposition Solution Series . J. Math. Anal. Appl. , 5 : 265 – 274 .
  • Korteweg , D. J. and de Vries , G. 1895 . On the Change of Form of Long Waves Advancing a Rectangular Canal and on a New Type of Long Stationary Waves . Phil. Mag. , 39 : 422 – 443 .
  • Shen , M. C. 1969 . Asymptotic theory of Unsteady Three-dimensional Waves in a Channel of Arbitrary Cross Section . SIAM. J. Appl. Math. , 17 : 260 – 271 .

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