Role of Gilson-Pickering equation for the different types of soliton solutions: a nonlinear analysis
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Tarih
2020
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
SPRINGER HEIDELBERG
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this article, the soliton solutions of the Gilson-Pickering equation have been constructed using the sinh-Gordon function method (ShGFM) and (G '/G, 1/G)-expansion method, which are applied to obtain exact solutions of nonlinear partial differential equations. A solution function different from the solution function in the classical (G '/G, 1/G)-expansion method has been considered which are based on complex trigonometric, hyperbolic, and rational solutions. By invoking ShGFM and (G '/G, 1/G)-expansion methods, different traveling wave solutions have been investigated. For the sake of avoiding the complex calculations, the ready package program has been tackled. The comparative analysis of sinh-Gordon function and (G '/G, 1/G)-expansion methods has shown several differences and similarities. A comparative analysis of ShGFM and (G '/G, 1/G)-expansion methods assures that the (G '/G, 1/G)-expansion method has been found to be more intensive, powerful, reliable and effective method for the Gilson-Pickering equation. The graphical illustrations of two-, three-dimensional, and contour graphs have been depicted as well.
Açıklama
KAYA, DOGAN/0000-0002-8400-5313; Ali, Kashif Ali/0000-0003-0867-642X
WOS:000560747500001
WOS:000560747500001
Anahtar Kelimeler
Kaynak
EUROPEAN PHYSICAL JOURNAL PLUS
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
135
Sayı
8
