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Exact and numerical solitary wave solutions of generalized Zakharov equation by the Adomian decomposition method

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  • Wang, Yue-yue
  • Dai, Chao-qing
  • Wu, Lei
  • Zhang, Jie-fang

Abstract

In this paper, by considering the modified Adomian decomposition method (mADM), exact and numerical solutions are calculated for the generalized Zakharov equation which is an imaginary equation, with initial condition. The method does not need linearization, weak nonlinearity assumptions or perturbation theory. We compare the numerical solutions with corresponding analytical solutions.

Suggested Citation

  • Wang, Yue-yue & Dai, Chao-qing & Wu, Lei & Zhang, Jie-fang, 2007. "Exact and numerical solitary wave solutions of generalized Zakharov equation by the Adomian decomposition method," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 1208-1214.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:3:p:1208-1214
    DOI: 10.1016/j.chaos.2005.11.071
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    References listed on IDEAS

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    1. Sun, Ye-peng & Bi, Jin-bo & Chen, Deng-yuan, 2005. "N-soliton solutions and double Wronskian solution of the non-isospectral AKNS equation," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 905-912.
    2. El-Danaf, Talaat S. & Ramadan, Mohamed A. & Abd Alaal, Faysal E.I., 2005. "The use of adomian decomposition method for solving the regularized long-wave equation," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 747-757.
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    Cited by:

    1. Tien, Wei-Chung & Chen, Cha’o-Kuang, 2009. "Adomian decomposition method by Legendre polynomials," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2093-2101.

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