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Exact Soliton Solutions to the Cubic-Quartic Non-linear Schrödinger Equation With Conformable Derivative      
Yazarlar
Hemen Dutta
Türkiye
Doç. Dr. Hatıra GÜNERHAN Doç. Dr. Hatıra GÜNERHAN
Kafkas Üniversitesi, Türkiye
Karmina K Ali
Türkiye
Resat Yilmazer
Türkiye
Özet
The research paper aims to investigate the space-time fractional cubic-quartic non-linear Schrödinger equation in the appearance of the third, and fourth-order dispersion impacts without both group velocity dispersion, and disturbance with parabolic law media by utilizing the extended sinh-Gordon expansion method. This method is one of the strongest methods to find the exact solutions to the non-linear partial differential equations. In order to confirm the existing solutions, the constraint conditions are used. We successfully construct various exact solitary wave solutions to the governing equation, for example, singular, and dark-bright solutions. Moreover, the 2D, 3D, and contour surfaces of all obtained solutions are also plotted. The finding solutions have justified the efficiency of the proposed method.
Anahtar Kelimeler
analytical solutions | conformable derivative | solitary wave solutions | the extended sinh-Gordon expansion method | the non-linear cubic-quartic Schrödinger equation
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı Frontiers in Physics
Dergi ISSN 2296-424X
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce
Basım Tarihi 03-2020
Cilt No 8
Sayı 62
Sayfalar 1 / 7
Doi Numarası 10.3389/fphy.2020.00062
Makale Linki https://www.frontiersin.org/article/10.3389/fphy.2020.00062/full