Assorted soliton wave solutions of time-fractional BBM-Burger and Sharma-Tasso-Olver equations in nonlinear analysis

Abstract

The present study investigates a couple of time-fractional equations, to be specific, the BBM-Burger equation and time conformable Sharma-Tasso-Olver equation in the modified Riemann-Liouville sense and extracted general and standard soliatry wave solutions by putting in use the soberly new (G′ /G, 1/G)-expansion approach. Thus, assorted closed-form wave solutions, namely bell-shaped, kink, periodic, compaction, and some general solitons are obtained, which are ascertained subject to hyperbolic, rational, and trigonometric functions. The established solitons demonstrate that the implemented technique is further effective and is a general form of the (G′ /G) -expansion approach initiated by Wang et al. The derived results confirm that the contrived technique is a powerful mathematical tool, compatible to use and friendly for analytic treatments of a broad class of nonlinear fractional differential equations (NLFDEs) that arise in nonlinear science and engineering.