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

Year 2017, Volume: 13 Issue: 1, 55 - 61, 29.03.2017

Sait San

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

Abstract

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.


Keywords

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

References

  • 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.

Year 2017, Volume: 13 Issue: 1, 55 - 61, 29.03.2017

Sait San

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

Abstract

References

  • 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.
There are 1 citations in total.

Details

Subjects Engineering
Journal Section Articles
Authors

Sait San

Publication Date March 29, 2017
Published in Issue Year 2017 Volume: 13 Issue: 1

Cite

APA San, S. (2017). Lie Symmetry Analysis and Conservation Laws of Non Linear Time Fractional WKI Equation. Celal Bayar University Journal of Science, 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. March 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 University Journal of Science 13, no. 1 (March 2017): 55-61. https://doi.org/10.18466/cbayarfbe.302641.
EndNote San S (March 1, 2017) Lie Symmetry Analysis and Conservation Laws of Non Linear Time Fractional WKI Equation. Celal Bayar University Journal of Science 13 1 55–61.
IEEE S. San, “Lie Symmetry Analysis and Conservation Laws of Non Linear Time Fractional WKI Equation”, CBUJOS, vol. 13, no. 1, pp. 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 University Journal of Science 13/1 (March 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 University Journal of Science, vol. 13, no. 1, 2017, pp. 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