The modified simple equation method for the two space-time nonlinear fractional partial differential equations
Publish place: 3rd International Conference on Soft Computing
Publish Year: 1398
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:
CSCG03_251
تاریخ نمایه سازی: 14 فروردین 1399
Abstract:
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.
Keywords:
Modified simple equation method , space-time nonlinear fractional differential equation , exact solution.
Authors
Z Ayati
Department of Engineering sciences, Faculty of Technology and Engineering East of Guilan, University of Guilan, P.C. ۴۴۸۹۱-۶۳۱۵۷, Rudsar-Vajargah, Iran;
R Asayesh
Department of Mathematics, Faculty of Mathematical Sciences, University of Guilan
F Salehi
Department of Mathematics, Darab Branch, Islamic Azad University, Darab, Iran