International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2557

Full Length Research Paper

Study of nonlinear KdV type equations via homotopy perturbation method and variational iteration method

H. Goodarzian*, T. Armaghani and M. Okazi      
Islamic Azad University, Mahdishahr Branch, Mahdishahr, Iran.  
Email: [email protected]

  •  Accepted: 16 November 2011
  •  Published: 09 January 2012


The Korteweg-de Vries (KdV) equation is the champion of model equations of nonlinear waves. In fact, it is from numerical experiments of a water wave equation. The objective of this paper is to present a comparative study of He's homotopy perturbation method (HPM) and variational iteration method (VIM) for the semi analytical solution of three different Kortweg-de Vries (KdV) type equations called KdV, K(2,2,) and modified KdV (Burgers) equations. The study has highlighted the efficiency and capability of aforementioned methods in solving these nonlinear problems which has risen from a number of important physical phenomenons. 


Key words: Variational iteration method (VIM), homotopy perturbation method (HPM), KdV equation, modified KdV Equation.