Approximate traveling wave solutions for coupled Whitham-Broer-Kaup shallow water

Authors:
D. D. Ganji;Houman B. Rokni;M. G. Sfahani;S. S. Ganji
Affiliations:
Department of Mechanical Engineering, Babol University of Technology, P.O. Box 484, Babol, Iran;Department of Mechanical Engineering, Babol University of Technology, P.O. Box 484, Babol, Iran;Departments of Structural Engineering, Faculty of Civil Engineering, Babol University of Technology, P.O. Box 484, Babol, Iran;Department of Civil and Transportation Engineering, Islamic Azad University, Science and Research Branch, Tehran, Iran
Venue:
Advances in Engineering Software
Year:
2010

Citing 3
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Abstract

Homotopy Perturbation Method (HPM) was used for computing the Coupled Whitham-Broer-Kaup Shallow Water. Then HPM solution verified against exact one and compared with another approximate solution, the Homotopy Analysis Method (HAM). The existent error of the methods computed and convergence of the HPM solution has presented. Results reveal that HPM is an effective and powerful in solving the non-linear systems in mechanic, analytically.