Exact periodic and explicit solutions of higher dimensional equations with fractional temporal evolution

Abstract

The term soliton has been used for a pulse like nonlinear wave (solitary wave) which leaves an interaction with unaltered shape and speed. To date, no less than seven particular wave frameworks or systems have been found to show such solutions. This speaks to an extensive variety of utilizations in applied science. The Exp(−ϕ(ξ))-expansion technique is utilized to find generalized solitary solutions and intermittent or periodic solutions for nonlinear evolution equations emerging in mathematical physics with the use of the enhanced time conformable equation. The technique is direct and succinct, and its applications are promising for other nonlinear mathematical physics.