Homotopy perturbation method for higher dimensional nonlinear evolutionary equations

Emanullah Hizela; Semih Küu̧karslanb

doi:10.1515/zna-2009-9-1005

Homotopy perturbation method for higher dimensional nonlinear evolutionary equations

Emanullah Hizela, Semih Küu̧karslanb^*

^*Corresponding author for this work

Department of Civil Engineering

Istanbul Technical University

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Pages (from-to)	568-574
Number of pages	7
Journal	Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
Volume	64
Issue number	9-10
DOIs	https://doi.org/10.1515/zna-2009-9-1005
Publication status	Published - 2009

Keywords

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

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10.1515/zna-2009-9-1005

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abstract = "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.",

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AU - Küu̧karslanb, Semih

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AB - 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.

KW - Homotopy perturbation method (HPM)

KW - Jumbo-miwa (JM) equation

KW - Kadomstev-petviashvili (KP) equation

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JO - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences

JF - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences

IS - 9-10

ER -

Homotopy perturbation method for higher dimensional nonlinear evolutionary equations

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Keywords

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