Application of the generalized unified method to solve (2+1)-dimensional Kundu–Mukherjee–Naskar equation
     
Yazarlar (1)
Doç. Dr. Tuğba AYDEMİR Yalova Üniversitesi, Türkiye
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Optical and Quantum Electronics (Q3)
Dergi ISSN 0306-8919 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili Türkçe Basım Tarihi 01-2023
Cilt / Sayı / Sayfa 55 / 6 / – DOI 10.1007/s11082-023-04807-8
Makale Linki https://doi.org/10.1007/s11082-023-04807-8
Özet
The purpose of this study is to introduce a new extension method named the generalized unified method (GUM) and apply this method to the the (2+1) dimensional Kundu–Mukherjee–Naskar (KMN) equation. The GUM as a powerful method provides more general exact solutions for nonlinear partial differential equations (NPDEs) in a compact form with free parameters. Various exact solutions including also hyperbolic, trigonometric and rational forms can be derived from the obtained exact solutions with tuning these free parameters. The reason of choosing the KMN equation is that this equation as extension of the Schrödinger equation is used to model great numbers of considerable physical phenomena such as ion-acoustic waves in oceanic rogue waves, magnetized plasmas, bending of light beams, propagation pulses in optical fiber. Considering the physical importance of the KMN equation, the obtained wide range solution sets by using the GUM will play a significant role in the applied sciences that use the KMN equation to model their problems.
Anahtar Kelimeler
Exact solution | Kundu–Mukherjee–Naskar equation | The generalized unified method | The unified method