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Explicit solutions of generalized nonlinear Boussinesq equations

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  • Doğan Kaya

Abstract

By considering the Adomian decomposition scheme, we solve a generalized Boussinesq equation. The method does not need linearization or weak nonlinearly assumptions. By using this scheme, the solutions are calculated in the form of a convergent power series with easily computable components. The decomposition series analytic solution of the problem is quickly obtained by observing the existence of the self-canceling “noise” terms where sum of components vanishes in the limit.

Suggested Citation

  • Doğan Kaya, 2001. "Explicit solutions of generalized nonlinear Boussinesq equations," Journal of Applied Mathematics, Hindawi, vol. 1, pages 1-9, January.
    • Handle: RePEc:hin:jnljam:647692
    DOI: 10.1155/S1110757X01000067
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    Cited by:

    1. Valls, Claudia, 2017. "Complete characterization of algebraic traveling wave solutions for the Boussinesq, Klein–Gordon and Benjamin–Bona–Mahony equations," Chaos, Solitons & Fractals, Elsevier, vol. 95(C), pages 148-151.
    2. Lesnic, D., 2006. "Blow-up solutions obtained using the decomposition method," Chaos, Solitons & Fractals, Elsevier, vol. 28(3), pages 776-787.

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