Homotopy perturbation method for higher dimensional nonlinear evolutionary equations

Emanullah Hizela, Semih Küu̧karslanb*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


In this paper, an iterative numerical solution of the higher-dimensional (3+1) physically important nonlinear evolutionary equations is studied by using the homotopy perturbation method (HPM). For this purpose, the Kadomstev-Petviashvili (KP) and the Jumbo-Miwa (JM) equations are analyzed with the HPM and the available exact solutions obtained by the homogenous balance method will be compared to show the accuracy of the proposed numerical algorithm. The results approves the effectiveness and accuracy of the HPM.

Original languageEnglish
Pages (from-to)568-574
Number of pages7
JournalZeitschrift fur Naturforschung - Section A Journal of Physical Sciences
Issue number9-10
Publication statusPublished - 2009


  • Homotopy perturbation method (HPM)
  • Jumbo-miwa (JM) equation
  • Kadomstev-petviashvili (KP) equation


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