TY  - JOUR
TT  - Lie Symmetry Analysis and Conservation Laws of Non Linear Time Fractional WKI Equation
AU  - San, Sait
PY  - 2017
DA  - March
DO  - 10.18466/cbayarfbe.302641
JF  - Celal Bayar University Journal of Science
JO  - CBUJOS
PB  - Manisa Celal Bayar Üniversitesi
WT  - DergiPark
SN  - 1305-130X
SP  - 55
EP  - 61
VL  - 13
IS  - 1
KW  - Fractional Conservation laws
KW  - Lie group analysis
KW  - Time fractional WKI  equation
KW  - New conservation theorem method
N2  - In this study, we considered with the time fractional WKIequation, Lie group analysis method are applied to frational WKI equation withthe Riemann-Liouville derivative.  Theinvariance properties of this equation were found. Besides we present  corresponding infinitesimal generators for theWKI equation.  And then the symmetryreductions are constructed with the Erdelyi-Kober fractional operator. Furthermore, we calculate Lie point symmetries associated thenonlocal conserved vectors utilizing the new conservation theorem method fortwo different cases of time fractional.
CR  - 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.
UR  - https://doi.org/10.18466/cbayarfbe.302641
L1  - http://dergipark.org.tr/tr/download/article-file/289326
ER  -