Abundant closed form solutions of the conformable time fractional Sawada-Kotera-Ito equation using (G '/G)-expansion method

作者：Al Shawba Altaf Abdulkarem^*; Gepreel K A; Abdullah F A; Azmi A

来源：Results in Physics, 2018, 9: 337-343.

DOI：10.1016/j.rinp.2018.02.012

• (G/G ')-expansion method
• Conformable fractional derivative
• Closed form solutions
• Seventh order time fractional Sawada-Kotera-Ito (TFSKI) equation

In current study, we use the (G/G')-expansion method to construct the closed form solutions of the seventh order time fractional Sawada-Kotera-Ito (TFSKI) equation based on conformable fractional derivative. As a result, trigonometric, hyperbolic and rational functions solutions with arbitrary constants are obtained. When the arbitrary constants are taken some special values, the periodic and soliton solutions are obtained from the travelling wave solutions. The obtained solutions are new and not found elsewhere. The effect of the fractional order on some of these solutions are represented graphically to illustrate the behavior of the exact solutions when the parameter take some special choose.

• 出版日期2018-6