On the Lie Symmetry Analysis and Traveling Wave Solutions of Time Fractional Fifth-Order Modified Sawada-Kotera Equation

Yıl: 2018 Cilt: 8 Sayı: 2 Sayfa Aralığı: 411 - 416 Metin Dili: İngilizce İndeks Tarihi: 09-02-2020

On the Lie Symmetry Analysis and Traveling Wave Solutions of Time Fractional Fifth-Order Modified Sawada-Kotera Equation

Öz:
In this paper, we study Lie symmetry analysis of the time fractional fifth-order modified Sawada-Kotera equation (FMSK) withRiemann-Liouville derivative. Applying the adapted the Lie group theory to the equation under study, two dimensional Lie algebra isdeduced. Using the obtained nontrivial Lie point symmetry, it is shown that the equation can be converted into a nonlinear fifth orderordinary differential equation of fractional order in the meaning of the Erdelyi-Kober fractional derivative operator. In addition, weconstruct some exact traveling solutions for the FMSK using the sub-equation method.
Anahtar Kelime:

Zaman Kesirli Beşinci Mertebeden Modifiye Edilmiş Sawada-Kotera Denkleminin Lie Simetri Analizi ve İlerleyen Dalga Çözümleri

Öz:
Bu makalede Riemann-Liouville türevine sahip beşinci mertebeden zaman kesirli modifiye edilmiş Sawada-Kotera denkleminin Lie grup analizi araştırılmıştır. Lie grup teorisinin denkleme uygulanmasıyla iki boyutlu Lie cebri elde edilmiştir. Aşikar olmayan Lie simetrisinin kullanılmasıyla denklemin Erdelyi-Kober kesirli türev operatörü cinsinden beşinci mertebeden kesirli adi diferensiyel denkleme dönüştürülebileceği gösterilmiştir. Bunun yanında alt-denklem metodu kullanılarak denklemin bazı tam ilerleyen dalga çözümlerine ulaşılmıştır.
Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA yasar e, YILDIRIM Y (2018). On the Lie Symmetry Analysis and Traveling Wave Solutions of Time Fractional Fifth-Order Modified Sawada-Kotera Equation. , 411 - 416.
Chicago yasar emrullah,YILDIRIM Yakup On the Lie Symmetry Analysis and Traveling Wave Solutions of Time Fractional Fifth-Order Modified Sawada-Kotera Equation. (2018): 411 - 416.
MLA yasar emrullah,YILDIRIM Yakup On the Lie Symmetry Analysis and Traveling Wave Solutions of Time Fractional Fifth-Order Modified Sawada-Kotera Equation. , 2018, ss.411 - 416.
AMA yasar e,YILDIRIM Y On the Lie Symmetry Analysis and Traveling Wave Solutions of Time Fractional Fifth-Order Modified Sawada-Kotera Equation. . 2018; 411 - 416.
Vancouver yasar e,YILDIRIM Y On the Lie Symmetry Analysis and Traveling Wave Solutions of Time Fractional Fifth-Order Modified Sawada-Kotera Equation. . 2018; 411 - 416.
IEEE yasar e,YILDIRIM Y "On the Lie Symmetry Analysis and Traveling Wave Solutions of Time Fractional Fifth-Order Modified Sawada-Kotera Equation." , ss.411 - 416, 2018.
ISNAD yasar, emrullah - YILDIRIM, Yakup. "On the Lie Symmetry Analysis and Traveling Wave Solutions of Time Fractional Fifth-Order Modified Sawada-Kotera Equation". (2018), 411-416.
APA yasar e, YILDIRIM Y (2018). On the Lie Symmetry Analysis and Traveling Wave Solutions of Time Fractional Fifth-Order Modified Sawada-Kotera Equation. Karaelmas Fen ve Mühendislik Dergisi, 8(2), 411 - 416.
Chicago yasar emrullah,YILDIRIM Yakup On the Lie Symmetry Analysis and Traveling Wave Solutions of Time Fractional Fifth-Order Modified Sawada-Kotera Equation. Karaelmas Fen ve Mühendislik Dergisi 8, no.2 (2018): 411 - 416.
MLA yasar emrullah,YILDIRIM Yakup On the Lie Symmetry Analysis and Traveling Wave Solutions of Time Fractional Fifth-Order Modified Sawada-Kotera Equation. Karaelmas Fen ve Mühendislik Dergisi, vol.8, no.2, 2018, ss.411 - 416.
AMA yasar e,YILDIRIM Y On the Lie Symmetry Analysis and Traveling Wave Solutions of Time Fractional Fifth-Order Modified Sawada-Kotera Equation. Karaelmas Fen ve Mühendislik Dergisi. 2018; 8(2): 411 - 416.
Vancouver yasar e,YILDIRIM Y On the Lie Symmetry Analysis and Traveling Wave Solutions of Time Fractional Fifth-Order Modified Sawada-Kotera Equation. Karaelmas Fen ve Mühendislik Dergisi. 2018; 8(2): 411 - 416.
IEEE yasar e,YILDIRIM Y "On the Lie Symmetry Analysis and Traveling Wave Solutions of Time Fractional Fifth-Order Modified Sawada-Kotera Equation." Karaelmas Fen ve Mühendislik Dergisi, 8, ss.411 - 416, 2018.
ISNAD yasar, emrullah - YILDIRIM, Yakup. "On the Lie Symmetry Analysis and Traveling Wave Solutions of Time Fractional Fifth-Order Modified Sawada-Kotera Equation". Karaelmas Fen ve Mühendislik Dergisi 8/2 (2018), 411-416.