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

Publish Year: 1394
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_CMDE-3-1_006

تاریخ نمایه سازی: 15 اسفند 1401

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.

Keywords:

New extended (G'/G)-expansion method , the Benjamin-Ono equation , Exact solutions

Authors

Md. Nur Alam

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

Md. Mashiar Rahman

Department of Mathematics, Begum Rokeya University, Rangpur, Bangladesh

Md. Rafiqul Islam

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

Harun-Or- Roshid

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