Application of the Homotopy Analysis Method for Solving Equal-Width Wave and Modified Equal-Width Wave Equations

作者：Babolian Esmail; Saeidian Jamshid^*; Paripour Mahmood

来源：Zeitschrift fur Naturforschung Section A-A Journal of Physical Sciences, 2009, 64(11): 685-690.

DOI：10.1515/zna-2009-1103

• Homotopy Analysis Method
• Equal-Width Wave Equation
• Modified Equal-Width Wave Equation
• Nonlinear Equations

Although the homotopy analysis method (HAM) is, by now, a well-known analytic method for handling functional equations, there is no general proof of its applicability to all kinds of equations. In this papers, by using this method to solve equal-width wave (EW) and modified equal-width wave (MEW) equataions, we have made it new contribution to this field of research. Our goal is to emphasize on two points: one is the efficiency of HAM in handling, these important family of equations and its superiority over other analytic methods like homotopy perturbation method (HPM), variational iteration method (VIM). and Adomian decomposition method (ADM). The other point is that although the considered two equations have different nonlinear terms, we have used the same auxiliary elements to solve them.

• 出版日期2009-11