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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2006, Vol. 7 Issue (12): 18-    DOI: 10.1631/jzus.2006.A2079
    
Artificial perturbation for solving the Korteweg-de Vries equation
KHELIL N., BENSALAH N., SAIDI H., ZERARKA A.
Laboratory of Physics and Applied Mathematics, University Med Khider, BP 145, 07000 Biskra, Algeria
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Abstract  A perturbation method is introduced in the context of dynamical system for solving the nonlinear Korteweg-de Vries (KdV) equation. Best efficiency is obtained for few perturbative corrections. It is shown that, the question of convergence of this approach is completely guaranteed here, because a limited number of term included in the series can describe a sufficient exact solution. Comparisons with the solutions of the quintic spline, and finite difference are presented.

Key words： Perturbation      Taylor series      Quintic spline      Korteweg-de Vries (KdV) equation     
Received: 27 October 2005     
CLC:  O343.2  
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KHELIL N.
BENSALAH N.
SAIDI H.
ZERARKA A.
Cite this article:

KHELIL N., BENSALAH N., SAIDI H., ZERARKA A.. Artificial perturbation for solving the Korteweg-de Vries equation. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2006, 7(12): 18-.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2006.A2079     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2006/V7/I12/18

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