%0 Journal Article
%T Homotopy analysis and Homotopy Pade methods for the modified Burgers-Korteweg-de Vries and the Newell-Whitehead equations
%A H. Kheiri
%A N. Alipour
%A R. Dehghani
%J Mathematical Sciences Quarterly Journal
%D 2011
%I Springer
%X In this paper, analytic solutions of the modifiedBurgers-Korteweg-de Vries equation(mBKdVE) and theNewell-Whitehead equation are obtained by the Homotopy analysismethod(HAM) and the Homotopy Pad$acute{e}$method(HPad$acute{e}$M). The obtained approximation by using HAMcontains an auxiliary parameter which is a way to control and adjustthe convergence region and rate of the solution series. Theapproximation solution by $[m,m]$ HPad$acute{e}$M is oftenindependent of auxiliary parameter $ar{h}$ and this techniqueaccelerate the convergence of the related series.
%K Homotopy analysis method
%K Homotopy Pade method
%K The modified Burgers-Korteweg-de Vries equation
%K The Newell-Whitehead equation.
%U http://mathscience.kiau.ac.ir/Content/Vol5No1/4.pdf