Two efficient reliable methods for solving fractional fifth order modified Sawada–Kotera equation appearing in mathematical physics

Abstract

The present paper deals with two reliable efficient methods viz. tanh-sech method and modified Kudryashov method, which are used to solve time-fractional nonlinear evolution equation. For delineating the legitimacy of proposed methods, we employ it to the time-fractional fifth-order modified Sawada–Kotera equations. As a consequence, we effectively obtained more new exact solutions for time-fractional fifth-order modified Sawada–Kotera equation. We have also presented the numerical simulations for time-fractional fifth-order modified Sawada–Kotera equation by means of three dimensional plots.

Keywords

• Time-fractional fifth-order modified Sawada–Kotera equation
• Local fractional calculus
• Tanh-sech method
• Modified Kudryashov method