Browsing by Author "Bulut, Hasan"

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Genelleştirilmiş Hiperbolik Burgers Denkleminin Yeni Mixed-dark Soliton Çözümleri
(2019) Dusuncelı, Faruk; Bulut, Hasan; Baskonus, Hacı Mehmet; Esen, Alaattin; 04.01. Department of Economics / İktisat Bölümü; 04. Faculty of Economics and Administrative Sciences / İktisadi ve İdari Bilimler Fakültesi; 01. Mardin Artuklu University / Mardin Artuklu Üniversitesi
Bu yazıda, Burgers denkleminin hiperbolik genelleştirilmesinde mixed-dark, üstel ve tekil çözümleri bulmak için üstel fonksiyon yöntemini kullanıyoruz. Tamamen yeni karışık tekil (mixed singular) ve dark soliton çözümleri elde ediyoruz. Parametrelerin uygun değerleri altında, sonuçların çeşitli boyutsal simülasyonları çizilmiştir. Son olarak, makalemizde yeni bir sonuç sunuyoruz.
Citation - WoS: 31
Citation - Scopus: 35
New exact solutions for the doubly dispersive equation using the improved Bernoulli sub-equation function method
(Indian Journal of Physics, 2021) Düşünceli, Faruk; Çelik, Ercan; Askin, Muzaffer; Bulut, Hasan; 04.01. Department of Economics / İktisat Bölümü; 04. Faculty of Economics and Administrative Sciences / İktisadi ve İdari Bilimler Fakültesi; 01. Mardin Artuklu University / Mardin Artuklu Üniversitesi
In this study, the doubly dispersive equation is presented by the application of the improved Bernoulli sub-equation function method (IBSEFM). The doubly dispersive equation which is a nonlinear partial differential equation is transformed into nonlinear ordinary differential equation using a wave transformation and then is solved by IBSEFM. Some new solutions are successfully constructed. All the obtained solutions in this study have been satisfied the doubly dispersive equation. In the present study, we have used Wolfram Mathematica 9 software for all of the computations and graphic plottings.