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First integral method; solitons; foam drainage equation; Klein–Gordon equation.

This paper studies a couple of fractional nonlinear evolution equations using first integral method. These evolution equations are foam drainage equation and Klein–Gordon equation (KGE), the latter of which is considered in (2 + 1) dimensions. For the fractional evolution, the Jumarie’s modified Riemann–Liouville derivative is considered. Exact solutions to these equations are obtained.

M Mirzazadeh¹ M Eslami² Anjan Biswas^{3 4}

1. Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, Rudsar, Iran
2. Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
3. Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA
4. Faculty of Science, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Published

March 2014

Early published

26 February 2014