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

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Celal Bayar Üniversitesi Fen Bilimleri Dergisi
Volume:13 Issue:1
Lie Symmetry Analysis and Conservation Laws of Non Linear Time Fractional WKI Equation

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 : 15 | Download : 16

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

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