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

Authors : Sait San

Pages : 55-61

Doi:10.18466/cbayarfbe.302641

View : 14 | Download : 8

Publication Date : 2017-03-30

Article Type : Research Paper

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