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Approximate traveling wave solution for shallow water wave equation |
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| Authors: | AA ImaniDD Ganji Houman B Rokni H LatifizadehEsmail Hesameddini M Hadi Rafiee |
| Institution: | a Babol Branch, Islamic Azad University, Babol, Iran b Department of Mechanical Engineering, Babol University of Technology, Babol, Iran c Department of Mathematics, Faculty of Basic Sciences, Shiraz University of Technology, Shiraz, Iran d Department of Civil Engineering, Babol University of Technology, P.O. Box 484, Babol, Iran |
| Abstract: | Reconstruction of Variational Iteration Method (RVIM) is used for computing the coupled Whitham-Broer-Kaup shallow water. Then RVIM solution is verified against exact one and is compared with powerful approximate solutions, the Homotopy Perturbation Method (HPM) and Homotopy Analysis Method (HAM). The existent error of the methods is computed and convergence of the RVIM solution has been presented. Results obtained expose effectiveness and capability of this method to solve the nonlinear systems in mechanics, analytically. |
| Keywords: | Reconstruction of variational iteration method Traveling wave Shallow Water Equation (SWE) Approximate solution Coupled Whitham-Broer-Kaup (CWBK) |
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