Exact solutions of the Benney–Luke equation via (1/G')-expansion method

Öz

In this study, the (1/G') -expansion method was implemented to solve the Benney–Luke (BL) equation. Exact solutions of the BL equation were obtained via this method. The solutions obtained from the BL equation were in hyperbolic form. 3D, 2D and contour graphs of obtained solutions are presented. Results show that the (1/G') -expansion method provides an efficient and straightforward mathematical instrument for finding solutions of nonlinear evolution equations (NLEEs). 

Anahtar Kelimeler

• (1/G')- Expansion Method
• Benney–Luke Equation
• Exact Solution
• Traveling Wave Solution

(1/G')-Açılım Yöntemi ile Benney-Luke Denkleminin Tam Çözümleri

Öz

Bu çalışmada, Benney-Luke (BL) denklemini çözmek için (1/ G') -açılım yöntemi uygulanmıştır. BL denkleminin tam çözümleri bu yöntem ile elde edilmektedir. BL denkleminden elde edilen çözümler hiperbolik formdadır. Elde edilen çözümlerin 3 boyutlu, 2 boyutlu ve kontur grafikleri sunulmaktadır. Sonuçlar, (1/ G') - açılım yönteminin doğrusal olmayan evrim denklemlerinin çözümlerini bulmak için etkili ve basit bir matematiksel enstrüman olduğu gösterilmiştir.

Anahtar Kelimeler

• (1/G')- Açılım Yöntemi
• Benney–Luke Denklemi
• Tam Çözüm
• Yürüyen Dalga Çözümü

Kaynakça

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