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

#### Sait San [1]

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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.

Fractional Conservation laws, Lie group analysis, Time fractional WKI equation, New conservation theorem method
• 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.
Subjects Engineering Articles Author: Sait San
 Bibtex @research article { cbayarfbe302641, journal = {Celal Bayar University Journal of Science}, issn = {1305-130X}, eissn = {1305-1385}, address = {Celal Bayar University}, year = {2017}, volume = {13}, pages = {55 - 61}, doi = {10.18466/cbayarfbe.302641}, title = {Lie Symmetry Analysis and Conservation Laws of Non Linear Time Fractional WKI Equation}, key = {cite}, author = {San, Sait} } 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. DOI: 10.18466/cbayarfbe.302641 MLA San, S . "Lie Symmetry Analysis and Conservation Laws of Non Linear Time Fractional WKI Equation". Celal Bayar University Journal of Science 13 (2017): 55-61 Chicago San, S . "Lie Symmetry Analysis and Conservation Laws of Non Linear Time Fractional WKI Equation". Celal Bayar University Journal of Science 13 (2017): 55-61 RIS TY - JOUR T1 - Lie Symmetry Analysis and Conservation Laws of Non Linear Time Fractional WKI Equation AU - Sait San Y1 - 2017 PY - 2017 N1 - doi: 10.18466/cbayarfbe.302641 DO - 10.18466/cbayarfbe.302641 T2 - Celal Bayar University Journal of Science JF - Journal JO - JOR SP - 55 EP - 61 VL - 13 IS - 1 SN - 1305-130X-1305-1385 M3 - doi: 10.18466/cbayarfbe.302641 UR - https://doi.org/10.18466/cbayarfbe.302641 Y2 - 2019 ER - EndNote %0 Celal Bayar University Journal of Science Lie Symmetry Analysis and Conservation Laws of Non Linear Time Fractional WKI Equation %A Sait San %T Lie Symmetry Analysis and Conservation Laws of Non Linear Time Fractional WKI Equation %D 2017 %J Celal Bayar University Journal of Science %P 1305-130X-1305-1385 %V 13 %N 1 %R doi: 10.18466/cbayarfbe.302641 %U 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