Nonlinear Whitham-Broer-Kaup Wave Equation in an Analytical Solution| Science Publications

American Journal of Engineering and Applied Sciences

M. Vaezi¹  N. Tolou¹  S. A. Zahedi¹ 

关键词: Variational iteration method (VIM);    propagation of wave equations;    whitham-broer-kaup equation;   

DOI  :  10.3844/ajeassp.2008.161.167

学科分类：工程和技术（综合）

来源: Science Publications

【 摘 要 】

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.

【 授权许可】

Unknown