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.