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The unified method for abundant soliton solutions of local time fractional nonlinear evolution equations      
Yazarlar
Nauman Raza
Muhammad Hamza Rafiq
Doç. Dr. Melike KAPLAN YALÇIN Doç. Dr. Melike KAPLAN YALÇIN
Kastamonu Üniversitesi, Türkiye
Sunil Kumar
Yu Ming Chu
Türkiye
Özet
This work studies two important temporal fractional nonlinear evolution equations, namely the (2+1)-dimensional Chaffee–Infante equation and (1+1)-dimensional Zakharov equation by way of the unified method along with properties of local M-derivative. The typical structures of fractional optical soliton wave solutions are obtained in polynomial and rational forms. Further, to grant the validity of non-singular solutions are given with limitation conditions and graphically depicted in 3D. Also, to expose the effect of a local fractional parameter on expected non-singular solutions are depicted through 2D graphs. The predicted solutions are revealing that the proposed approach is straightforward and valuable to find the solitary wave solutions of other nonlinear evolution equations.
Anahtar Kelimeler
Chaffee–Infante equation | Local M-derivative | Optical fractional solitons | The unified method | Zakharov equation
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı RESULTS IN PHYSICS
Dergi ISSN 2211-3797
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q1
Makale Dili İngilizce
Basım Tarihi 03-2021
Cilt No 22
Sayı 103979
Doi Numarası 10.1016/j.rinp.2021.103979
Makale Linki http://dx.doi.org/10.1016/j.rinp.2021.103979