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

Yıl 2017, Cilt: 13 Sayı: 1, 55 - 61, 29.03.2017

Sait San

https://doi.org/10.18466/cbayarfbe.302641

Cited By: 1

https://izlik.org/JA85ZX82UX

Öz

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.

Anahtar Kelimeler

Fractional Conservation laws , Lie group analysis , Time fractional WKI equation , New conservation theorem method

Kaynakça

• 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.