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S.J. Liao, “Notes on the homotopy analysis method: Some de_nitions and theorems,” Communications in Nonlinear Science and Numerical. Simulations, Vol. 14, No. 4, 2009, pp. 983-997. doi:10.1016/j.cnsns.2008.04.013

has been cited by the following article:

• TITLE: Approximate Analytical Solutions of Fractional Coupled mKdV Equation by Homotopy Analysis Method

  AUTHORS: Orkun Tasbozan, Alaattin Esen, Nuri Murat Yagmurlu

  KEYWORDS: Homotopy Analysis Method; Approximate Analytical Solution; Fractional Coupled mKdV Equation

  JOURNAL NAME: Open Journal of Applied Sciences, Vol.2 No.3, September 28, 2012

  ABSTRACT: In this paper, the approximate analytical solutions of the fractional coupled mKdV equation are obtained by homotopy analysis method (HAM). The method includes an auxiliary parameter which provides a convenient way of adjusting and controlling the convergence region of the series solution. The suitable value of auxiliary parameter is determined and the obtained results are presented graphically.