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S.J. Liao, “Homotopy analysis method: A new analytical technique for nonlinear problems,” Communications in Nonlinear Science and Numerical. Simulations, Vol. 2, No. 2, 1997, pp. 95-100. doi:10.1016/S1007-5704(97)90047-2

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.