Application of the new extended (G'/G) -expansion method to find exact solutions for nonlinear partial differential equation

Document Type : Research Paper

Authors

1 Department of Mathematics, Pabna University of Science and Technology, Bangladesh

2 Department of Mathematics, Begum Rokeya University, Rangpur, Bangladesh

Abstract

In recent years, numerous approaches have been utilized for finding the exact solutions to nonlinear partial differential equations. One such method is known as the new extended (G'/G)-expansion method and was proposed by Roshid et al. In this paper, we apply this method and achieve exact solutions to nonlinear partial differential equations (NLPDEs), namely the Benjamin-Ono equation. It is establish that the method by Roshid et al. is a very well-organized method which can be used to find exact solutions of a large number of NLPDEs.

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