On the Conversion of Partial Differential Equations

Syed Tauseef Mohyud-Din
2010 Zeitschrift fur Naturforschung A-A Journal of Physical Sciences  
This paper outlines the conversion of partial differential equations (PDEs) into the corresponding ordinary differential equations (ODEs) by a complex transformation which is widely used in the exp-function method. The proposed homotopy perturbation method (HPM) is employed to solve the travelling wave solutions. Several examples are given to reveal the reliability and efficiency of the algorithm.
doi:10.1515/zna-2010-1102 fatcat:6bidqmn5dbdzffnj2zu6wi4s2e