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Solitons and periodic solutions to a couple of fractional nonlinear evolution equations |
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| Authors: | M MIRZAZADEH M Eslami ANJAN BISWAS |
| Institution: | 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 |
| Abstract: | 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. |
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