The modified simple equation method for the two space-time nonlinear fractional partial differential equations

Ayati, Zainab; Asayesh, Roxana; Salehi, Farideh

doi:10.22098/jhs.2020.2624

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	The modified simple equation method for the two space-time nonlinear fractional partial differential equations
Journal of Hyperstructures
دوره 9، شماره 1، شهریور 2020، صفحه 11-22 اصل مقاله (429.6 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22098/jhs.2020.2624
نویسندگان
Zainab Ayati^* ¹؛ Roxana Asayesh²؛ Farideh Salehi³
¹Department of Engineering sciences, Faculty of Technology and Engineering East of Guilan, University of Guilan, P.C. 44891-63157, Rudsar-Vajargah, Iran
²Department of Mathematics, Faculty of Mathematical Sciences, University of Guilan Rasht,Iran
³Department of Mathematics, Darab Branch, Islamic Azad University Darab,Iran
چکیده
Many important phenomena in various fields are described and generalized by a fractional partial differential equation. In this paper, the modified simple equation method which is widely applicable to handle nonlinear wave equations, is successfully implemented for constructing exact solutions of two nonlinear fractional equations, namely the space-time nonlinear fractional potential Kadomstev- Petviashvili (PKP) and Sharma-Tasso- Olver (STO) equations in the sense of the modified Riemann-Liouville derivative. As a result, some new exact solutions are successfully obtained for them
کلیدواژه‌ها
Modified simple equation method؛ Space-time nonlinear fractional differential equation؛ Exact solution

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The modified simple equation method for the two space-time nonlinear fractional partial differential equations