Generalized (G'/G) - Expansion Method for Some Soliton Wave Solution of the Coupled Potential Korteweg–de Vries (KdV) equation

Year 2019, Volume: 9 Issue: 1, 94 - 102, 30.06.2019

İbrahim Enam İnan

https://doi.org/10.31466/kfbd.542566

Cited By: 1

Abstract

In this article, some soliton wave solutions of
the coupled potential KdV equation have been found using the generalized (G '/
G) - expansion method. For this equation, hyperbolic function solutions,
trigonometric function solutions and rational function solutions have been
obtained. It was seen that the solutions provided the equation using
Mathematica 11.2 In addition, the graphic performances of some solutions are
given

Keywords

The coupled potential KdV-equation, Soliton wave solutions, Generalized (G'/G)- expansion method

Potansiyel KdV- denklem çiftinin bazı soliton dalga çözümleri için Genelleştirilmiş (G'/G)- açılım metodu

Abstract

Bu makalede, genelleştirilmiş (G '/ G) – açılım metodu
kullanılarak potansiyel KdV denklem çiftinin bazı soliton dalga çözümleri
bulunmuştur. Bu denklem için hiperbolik fonksiyon çözümleri, trigonometrik
fonksiyon çözümleri ve rasyonel fonksiyon çözümleri elde edilmiştir. Çözümlerin
Mathematica 11.2 kullanılarak denklemi sağladığı görülmüştür. Ayrıca, bazı
çözümlerin grafik performansları verilmiştir.

Keywords

Potansiyel KdV- denklem çifti, Soliton dalga çözümleri, Genelleştirilmiş (G'/G)- açılım metodu

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