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## tren(1/G')-Açılım Yöntemi ile Benney-Luke Denkleminin Tam ÇözümleriExact solutions of the Benney–Luke equation via (1/G')-expansion method

#### Hülya DURUR [1] , Asıf YOKUŞ [2]

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.

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).

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Primary Language en Basic Sciences Articles Orcid: 0000-0002-9297-6873Author: Hülya DURUR (Primary Author)Institution: Ardahan UniversityCountry: Turkey Orcid: 0000-0002-1460-8573Author: Asıf YOKUŞInstitution: FIRAT UNIVERSITYCountry: Turkey yok Application Date : November 29, 2020 Acceptance Date : February 18, 2021 Publication Date : June 30, 2021
 APA Durur, H , Yokuş, A . (2021). Exact solutions of the Benney–Luke equation via (1/G')-expansion method . Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi , 8 (1) , 56-64 . DOI: 10.35193/bseufbd.833244

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