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Lie Symmetry Analysis and Conservation Laws of Non Linear Time Fractional WKI Equation

Yıl 2017, Cilt: 13 Sayı: 1, 55 - 61, 29.03.2017

Sait San

https://doi.org/10.18466/cbayarfbe.302641
Cited By: 1

Öz

In this study, we considered with the time fractional WKI
equation, Lie group analysis method are applied to frational WKI equation with
the Riemann-Liouville derivative.  The
invariance properties of this equation were found. Besides we present  corresponding infinitesimal generators for the
WKI equation.  And then the symmetry
reductions are constructed with the Erdelyi-Kober fractional operator. Furthermore, we calculate Lie point symmetries associated the
nonlocal conserved vectors utilizing the new conservation theorem method for
two different cases of time fractional.


Anahtar Kelimeler

Fractional Conservation laws Lie group analysis Time fractional WKI equation New conservation theorem method

Kaynakça

  • Khalique, C. M.; Adem, K. R.. Exact solutions of the (2+ 1)-dimensional ZakharovñKuznetsov modiÖed equal width equation using Lie group analysis. Mathematical and Computer Modelling, 2011, 54(1), 184-189.

Yıl 2017, Cilt: 13 Sayı: 1, 55 - 61, 29.03.2017

Sait San

https://doi.org/10.18466/cbayarfbe.302641
Cited By: 1

Öz

Kaynakça

  • Khalique, C. M.; Adem, K. R.. Exact solutions of the (2+ 1)-dimensional ZakharovñKuznetsov modiÖed equal width equation using Lie group analysis. Mathematical and Computer Modelling, 2011, 54(1), 184-189.
Toplam 1 adet kaynakça vardır.

Ayrıntılar

Konular Mühendislik
Bölüm Makaleler
Yazarlar

Sait San

Yayımlanma Tarihi 29 Mart 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 13 Sayı: 1

Kaynak Göster

APA San, S. (2017). Lie Symmetry Analysis and Conservation Laws of Non Linear Time Fractional WKI Equation. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, 13(1), 55-61. https://doi.org/10.18466/cbayarfbe.302641
AMA San S. Lie Symmetry Analysis and Conservation Laws of Non Linear Time Fractional WKI Equation. CBUJOS. Mart 2017;13(1):55-61. doi:10.18466/cbayarfbe.302641
Chicago San, Sait. “Lie Symmetry Analysis and Conservation Laws of Non Linear Time Fractional WKI Equation”. Celal Bayar Üniversitesi Fen Bilimleri Dergisi 13, sy. 1 (Mart 2017): 55-61. https://doi.org/10.18466/cbayarfbe.302641.
EndNote San S (01 Mart 2017) Lie Symmetry Analysis and Conservation Laws of Non Linear Time Fractional WKI Equation. Celal Bayar Üniversitesi Fen Bilimleri Dergisi 13 1 55–61.
IEEE S. San, “Lie Symmetry Analysis and Conservation Laws of Non Linear Time Fractional WKI Equation”, CBUJOS, c. 13, sy. 1, ss. 55–61, 2017, doi: 10.18466/cbayarfbe.302641.
ISNAD San, Sait. “Lie Symmetry Analysis and Conservation Laws of Non Linear Time Fractional WKI Equation”. Celal Bayar Üniversitesi Fen Bilimleri Dergisi 13/1 (Mart 2017), 55-61. https://doi.org/10.18466/cbayarfbe.302641.
JAMA San S. Lie Symmetry Analysis and Conservation Laws of Non Linear Time Fractional WKI Equation. CBUJOS. 2017;13:55–61.
MLA San, Sait. “Lie Symmetry Analysis and Conservation Laws of Non Linear Time Fractional WKI Equation”. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, c. 13, sy. 1, 2017, ss. 55-61, doi:10.18466/cbayarfbe.302641.
Vancouver San S. Lie Symmetry Analysis and Conservation Laws of Non Linear Time Fractional WKI Equation. CBUJOS. 2017;13(1):55-61.

Cited By

Investigation of adequate closed form travelling wave solution to the space-time fractional non-linear evolution equations
Journal of Ocean Engineering and Science
Mohammad Asif Arefin
https://doi.org/10.1016/j.joes.2021.08.011