Research Article Open Access

Nonlinear Whitham-Broer-Kaup Wave Equation in an Analytical Solution

S.A. Zahedi1, M. Vaezi1 and N. Tolou1
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American Journal of Engineering and Applied Sciences
Volume 1 No. 2, 2008, 161-167

DOI: https://doi.org/10.3844/ajeassp.2008.161.167

Submitted On: 27 May 2008 Published On: 30 June 2008

How to Cite: Zahedi, S., Vaezi, M. & Tolou, N. (2008). Nonlinear Whitham-Broer-Kaup Wave Equation in an Analytical Solution . American Journal of Engineering and Applied Sciences, 1(2), 161-167. https://doi.org/10.3844/ajeassp.2008.161.167

Abstract

This study presented a new approach for the analysis of a nonlinear Whitham-Broer-Kaup equation dealing with propagation of shallow water waves with different dispersion relations. The analysis was based on a kind of analytical method, called Variational Iteration Method (VIM). To illustrate the capability of the approach, some numerical examples were given and the propagation and the error of solutions were shown in comparison to those of exact solution. In clear conclusion, the approach was efficient and capable to obtain the analytical approximate solution of this set of wave equations while these solutions could straightforwardly show some facts of the described process deeply such as the propagation. This method can be easily extended to other nonlinear wave equations and so can be found widely applicable in this field of science.

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Keywords

  • Variational iteration method (VIM)
  • propagation of wave equations
  • whitham-broer-kaup equation