Solitary Wave and other Solutions of Nonlinear Space-Time Fractional Differential Equation Systems

Yıl: 2018 Cilt: 8 Sayı: 2 Sayfa Aralığı: 515 - 522 Metin Dili: İngilizce İndeks Tarihi: 10-02-2020

Solitary Wave and other Solutions of Nonlinear Space-Time Fractional Differential Equation Systems

Öz:
In this study, we have successfully found some travelling wave solutions of the variant Boussinesq system and fractional system of twodimensionalBurgers’ equations of fractional order by using the $b Gl l $ xpansion method. These exact solutions contain hyperbolic,trigonometric and rational function solutions. The fractional complex transform is generally used to convert a partial fractionaldifferential equation (FDEs) with modified Riemann-Liouville derivative into ordinary differential equation. We showed that theconsidered transform and method are very reliable, efficient and powerful in solving wide classes of other nonlinear fractional orderequations and systems.
Anahtar Kelime:

Lineer Olmayan Uzay – Zaman Kesirli Diferensiyel Denklem Sistemlerinin Soliter Dalga ve Diğer Çözümleri

Öz:
Bu çalışmada, $ b Gl l$-açılım metodu kullanarak kesir mertebeli Boussinesq denklem sistemleri ve kesirli iki boyutlu Burgers’ denklemlerinin bazı hareketli dalga çözümleri elde edilmiştir. Bu tam çözümler hiperbolik, trigonometrik ve rasyonel fonksiyon çözümlerini içermektedir. Kesirli karmaşık dönüşüm, genellikle, modifiye Riemann-Liouville türevi içeren kesirli kısmi diferansiyel denklemi adi diferensiyel denkleme dönüştürmek için kullanılır. Düşünülen dönüşüm ve metodun, diğer lineer olmayan kesir mertebeli denklemlerin ve sistemlerin çözümünde güvenilir, verimli ve etkili bir yol olduğu gösterilmiştir.
Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA KOPARAN M, GÜNER Ö (2018). Solitary Wave and other Solutions of Nonlinear Space-Time Fractional Differential Equation Systems. , 515 - 522.
Chicago KOPARAN MURAT,GÜNER Özkan Solitary Wave and other Solutions of Nonlinear Space-Time Fractional Differential Equation Systems. (2018): 515 - 522.
MLA KOPARAN MURAT,GÜNER Özkan Solitary Wave and other Solutions of Nonlinear Space-Time Fractional Differential Equation Systems. , 2018, ss.515 - 522.
AMA KOPARAN M,GÜNER Ö Solitary Wave and other Solutions of Nonlinear Space-Time Fractional Differential Equation Systems. . 2018; 515 - 522.
Vancouver KOPARAN M,GÜNER Ö Solitary Wave and other Solutions of Nonlinear Space-Time Fractional Differential Equation Systems. . 2018; 515 - 522.
IEEE KOPARAN M,GÜNER Ö "Solitary Wave and other Solutions of Nonlinear Space-Time Fractional Differential Equation Systems." , ss.515 - 522, 2018.
ISNAD KOPARAN, MURAT - GÜNER, Özkan. "Solitary Wave and other Solutions of Nonlinear Space-Time Fractional Differential Equation Systems". (2018), 515-522.
APA KOPARAN M, GÜNER Ö (2018). Solitary Wave and other Solutions of Nonlinear Space-Time Fractional Differential Equation Systems. Karaelmas Fen ve Mühendislik Dergisi, 8(2), 515 - 522.
Chicago KOPARAN MURAT,GÜNER Özkan Solitary Wave and other Solutions of Nonlinear Space-Time Fractional Differential Equation Systems. Karaelmas Fen ve Mühendislik Dergisi 8, no.2 (2018): 515 - 522.
MLA KOPARAN MURAT,GÜNER Özkan Solitary Wave and other Solutions of Nonlinear Space-Time Fractional Differential Equation Systems. Karaelmas Fen ve Mühendislik Dergisi, vol.8, no.2, 2018, ss.515 - 522.
AMA KOPARAN M,GÜNER Ö Solitary Wave and other Solutions of Nonlinear Space-Time Fractional Differential Equation Systems. Karaelmas Fen ve Mühendislik Dergisi. 2018; 8(2): 515 - 522.
Vancouver KOPARAN M,GÜNER Ö Solitary Wave and other Solutions of Nonlinear Space-Time Fractional Differential Equation Systems. Karaelmas Fen ve Mühendislik Dergisi. 2018; 8(2): 515 - 522.
IEEE KOPARAN M,GÜNER Ö "Solitary Wave and other Solutions of Nonlinear Space-Time Fractional Differential Equation Systems." Karaelmas Fen ve Mühendislik Dergisi, 8, ss.515 - 522, 2018.
ISNAD KOPARAN, MURAT - GÜNER, Özkan. "Solitary Wave and other Solutions of Nonlinear Space-Time Fractional Differential Equation Systems". Karaelmas Fen ve Mühendislik Dergisi 8/2 (2018), 515-522.