Application of homotopy perturbation method to nonlinear time-fractional fourth order Korteweg–de Vries (KdV) equation

Document Type : Research Paper


1 Department of Mechanical Engineering, Shiraz Branch, Islamic Azad University, Shiraz, Iran

2 School of Mechanical Engineering, Shiraz University, Shiraz, Iran

3 School of Mechanical Engineering, Persian Gulf University, Boushehr, Iran



The aim of this paper is to find the solution for the nonlinear fractional fourth order Kortewegde Vries equation via homotopy perturbation method (HPM). The solution is compared with one attained by using homotopy analysis method  (HAM). The results show that by using HPM, the same accuracy will be obtained with much less computational effort in comparison with HAM.


Articles in Press, Accepted Manuscript
Available Online from 08 September 2023
  • Receive Date: 25 January 2019
  • Accept Date: 06 June 2023