Abstract
In this letter, He's Variational Iteration Method (VIM) is implemented for solving the nonlinear Whitham-Broer-Kaup partial differential equations in the special case is named approximate long wave equations (ALW). This method is based on Lagrange multipliers for identification of optimal values of parameters in a functional. Using this method creates a sequence which those obtained by the Adomian decomposition method (ADM). The work confirms that the VIM method is superior and very faster to the ADM .
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