Benjamin, T.B., Bona, J.L. and Mahony, J.J. (1972) Model Equations for Long Waves in Nonlinear Dispersive System. Philosophical Transactions of the Royal Society A, 272, 47-78.

has been cited by the following article:

• TITLE: A Study of Some Nonlinear Partial Differential Equations by Using Adomian Decomposition Method and Variational Iteration Method

  AUTHORS: Maha S. M. Shehata

  KEYWORDS: Wave Variables, Adomian Decomposition Method (ADM), Variational Iteration Method (VIM), Nonlinear Partial Differential Equation PDEs, BBM and Cahn-Hilliard Equations

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.5 No.2, June 26, 2015

  ABSTRACT: In this paper, a numerical solution of nonlinear partial differential equation, Benjamin-Bona-Mahony (BBM) and Cahn-Hilliard equation is presented by using Adomain Decomposition Method (ADM) and Variational Iteration Method (VIM). The results reveal that the two methods are very effective, simple and very close to the exact solution.