TY - JOUR
T1 - Homotopy perturbation method for higher dimensional nonlinear evolutionary equations
AU - Hizela, Emanullah
AU - Küu̧karslanb, Semih
PY - 2009
Y1 - 2009
N2 - 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.
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
UR - http://www.scopus.com/inward/record.url?scp=73249119537&partnerID=8YFLogxK
U2 - 10.1515/zna-2009-9-1005
DO - 10.1515/zna-2009-9-1005
M3 - Article
AN - SCOPUS:73249119537
SN - 0932-0784
VL - 64
SP - 568
EP - 574
JO - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
JF - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
IS - 9-10
ER -