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Exact solitary wave solution of Boussinesq equation by VIM

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  • Javidi, M.
  • Jalilian, Y.

Abstract

In this paper, the well known He’s variational iteration method (VIM) is used to construct solitary wave solutions for Boussinesq equation (BE). The chosen initial solution (trial function) can be in soliton form with some unknown parameters which can be determined in the solution procedure.

Suggested Citation

  • Javidi, M. & Jalilian, Y., 2008. "Exact solitary wave solution of Boussinesq equation by VIM," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1256-1260.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:5:p:1256-1260
    DOI: 10.1016/j.chaos.2006.07.046
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    Cited by:

    1. Javidi, M. & Golbabai, A., 2009. "A new domain decomposition algorithm for generalized Burger’s–Huxley equation based on Chebyshev polynomials and preconditioning," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 849-857.
    2. Gh. Forozani & M. Ghorveei Nosrat, 2013. "Solitary solution of modified bad and good Boussinesq equation by using of tanh and extended tanh methods," Indian Journal of Pure and Applied Mathematics, Springer, vol. 44(4), pages 497-510, August.
    3. Bratsos, A.G., 2009. "A predictor–corrector scheme for the improved Boussinesq equation," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2083-2094.
    4. Fesanghary, M. & Pirbodaghi, T. & Asghari, M. & Sojoudi, H., 2009. "A new analytical approximation to the Duffing-harmonic oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 571-576.
    5. Goh, S.M. & Noorani, M.S.M. & Hashim, I., 2009. "Efficacy of variational iteration method for chaotic Genesio system – Classical and multistage approach," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2152-2159.
    6. Golbabai, A. & Javidi, M., 2009. "A spectral domain decomposition approach for the generalized Burger’s–Fisher equation," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 385-392.
    7. Helal, M.A. & Seadawy, A.R. & Zekry, M.H., 2014. "Stability analysis of solitary wave solutions for the fourth-order nonlinear Boussinesq water wave equation," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 1094-1103.

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