New wave form solutions of nonlinear conformable time-fractional Zoomeron equation in (2 + 1)-dimensions

Abstract

Under investigation in the current paper is the nonlinear conformable time-fractional Zoomeron equation in (2 + 1)-dimensions, which is a model to display the novel phenomena associated with boomerons and trappons. The well-designed techniques, -expansion approach and modified Kudryashov method are formally utilized to produce a variety of wave form solutions such as kink, singular kink, and periodic wave solutions for the governing model. Results confirm the effectiveness of the methods for extracting different wave form solutions of nonlinear time-fractional differential equations.