Article citationsMore>>

Odibat, Z. (2007) A New Modification of the Homotopy Perturbation Method for Linear and Nonlinear Operators. Applied Mathematics and Computation, 189, 746-753.
https://doi.org/10.1016/j.amc.2006.11.188

has been cited by the following article:

• TITLE: Construction of Solitary Wave Solutions and Rational Solutions for mKdV Equation with Initial Value Problem by Homotopy Perturbation Method

  AUTHORS: Zhongzhou Dong, Fen Wang

  KEYWORDS: mKdV Equation, Homotopy Perturbation Method, Soliton Solution

  JOURNAL NAME: Open Access Library Journal, Vol.5 No.2, February 28, 2018

  ABSTRACT: The mKdV equation with the initial value problem is studied numerically by means of the homotopy perturbation method. The analytical approximate solutions of the mKdV equation are obtained. Choosing the form of the initial value, the single solitary wave, two solitary waves and rational solutions are presented, some of which are shown by the plots.