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

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

1. 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.