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Analytical solution of variant Boussinesq equations
Authors:A Jabbari  H Kheiri  A Bekir
Institution:1. Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, , Tabriz, Iran;2. Eski?ehir Osmangazi University, Department of Mathematics and Computer Sciences, , 26000 Eski?ehir, Turkey
Abstract:In this paper, analytic solutions of the variant Boussinesq equations are obtained by the homotopy analysis and the homotopy Padurn:x-wiley:01704214:media:mma2853:mma2853-math-0001 methods. The obtained approximation using homotopy method contains an auxiliary parameter, which is a simple way to control and adjust the convergence region and rate of solution series. The approximation solutions by m,m] homotopy Padurn:x-wiley:01704214:media:mma2853:mma2853-math-0002 technique is often independent of auxiliary parameter urn:x-wiley:01704214:media:mma2853:mma2853-math-0003, and this technique accelerates the convergence of the related series. Copyright © 2013 John Wiley & Sons, Ltd.
Keywords:homotopy analysis method  homotopy Pad technique  Variant Boussinesq equations
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