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Variational iteration method for solving coupled-KdV equations

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  • Assas, Laila M.B.

Abstract

In this paper, the He’s variational iteration method is applied to solve the non-linear coupled-KdV equations. This method is based on the use of Lagrange multipliers for identification of optimal value of a parameter in a functional. This technique provides a sequence of functions which converge to the exact solution of the coupled-KdV equations. This procedure is a powerful tool for solving coupled-KdV equations.

Suggested Citation

  • Assas, Laila M.B., 2008. "Variational iteration method for solving coupled-KdV equations," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 1225-1228.
    • Handle: RePEc:eee:chsofr:v:38:y:2008:i:4:p:1225-1228
    DOI: 10.1016/j.chaos.2007.02.012
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    References listed on IDEAS

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    1. He, Ji-Huan & Wu, Xu-Hong, 2006. "Construction of solitary solution and compacton-like solution by variational iteration method," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 108-113.
    2. Sweilam, N.H. & Khader, M.M., 2007. "Variational iteration method for one dimensional nonlinear thermoelasticity," Chaos, Solitons & Fractals, Elsevier, vol. 32(1), pages 145-149.
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    Cited by:

    1. Imtiaz Ahmad & Muhammad Ahsan & Zaheer-ud Din & Ahmad Masood & Poom Kumam, 2019. "An Efficient Local Formulation for Time–Dependent PDEs," Mathematics, MDPI, vol. 7(3), pages 1-18, February.
    2. Başhan, Ali, 2019. "A mixed algorithm for numerical computation of soliton solutions of the coupled KdV equation: Finite difference method and differential quadrature method," Applied Mathematics and Computation, Elsevier, vol. 360(C), pages 42-57.

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