Novel solution behaviors for some communication equation and plasma physics equation via generalized Riccati equation mapping method

Abstract

The 27 analytic solutions for the nonlinear space–time fractional low-pass electrical transmission line model and the nonlinear space–time fractional Sharma-Tasso-Olver equation were obtained using the generalized Riccati equation mapping method and the Jumarie’s Riemann–Liouville fractional derivative. The kink and periodic wave behavior solutions were the many different behavior solutions that were available for these nonlinear evolution equations. We displayed the behavior graphs in three-dimensions, two-dimensions and contour. This study’s findings demonstrate that, in comparison to several other approaches, the generalized Riccati equation mapping technique provides a wider range of solutions to these equations, which shows the behavior of the solution as a wave in a variety of formats.