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Received: 2005-10-27
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Artificial perturbation for solving the Korteweg-de Vries equation
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KHELIL N., BENSALAH N., SAIDI H., ZERARKA A.. Artificial perturbation for solving the Korteweg-de Vries equation[J]. Journal of Zhejiang University Science A, 2006, 7(12): 2079-2082.
@article{title="Artificial perturbation for solving the Korteweg-de Vries equation",
author="KHELIL N., BENSALAH N., SAIDI H., ZERARKA A.",
journal="Journal of Zhejiang University Science A",
volume="7",
number="12",
pages="2079-2082",
year="2006",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2006.A2079"
}
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A1 - ZERARKA A.
J0 - Journal of Zhejiang University Science A
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2006.A2079
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.
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