The Homotopy Perturbation Method for Solving Nonlinear Burgers and New Coupled Modified Korteweg-de Vries Equations

Faculty Science Year: 2008
Type of Publication: Article Pages: 627-633
Authors:
Gepreel, Khaled A, Nofal, Taher A, Zayed, Elsayed M. E
Journal: ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES VERLAG Z NATURFORSCH Volume: 63
Research Area: Chemistry; Physics ISSN ISI:000262357400002
Keywords : Homotopy Perturbation Method, Travelling Wave Solutions, Nonlinear Burgers and New Coupled MKdV Equations, Nonlinear Partial Differential Equations    
Abstract:
We use the homotopy perturbation method to find the travelling wave solutions of nonlinear Burgers and new coupled modified Korteweg-de Vries equations. The results reveal that the homotopy perturbation method is very effective, convenient and quite accurate to systems of nonlinear equations. It is predicted that the homotopy perturbation method can find wide-application in engineering and physics.
    
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