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Benjamin, T.B., Bona, J.L. and Mahony, J.J. (1972) Model Equations for Long Waves in Nonlinear Dispersive System. Philos. Trans. Soc., London S. R., A., 272, 47-78.

has been cited by the following article:

• TITLE: Variational Homotopy Perturbation Method for Solving Benjamin-Bona-Mahony Equation

  AUTHORS: Fadhil H. Easif, Saad A. Manaa, Bewar A. Mahmood, Majeed A. Yousif

  KEYWORDS: Variational Homotopy Perturbation Method, Benjamin-Bona-Mahony Equation

  JOURNAL NAME: Applied Mathematics, Vol.6 No.4, April 17, 2015

  ABSTRACT: In this article, the application of variational homotopy perturbation method is applied to solve Benjamin-Bona-Mahony equation. Then, we obtain the numerical solution of BBM equation using the initial condition. Comparison with Adomian’s decomposition method, homotopy perturbation method, and with the exact solution shows that VHPM is more effective and accurate than ADM and HPM, and is reliable and manageable for this type of equation.