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

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.

Anahtar Kelimeler:

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

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

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,

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