Exact Solutions of the Conformable Space-Time Chiral Nonlinear Schrodinger’s Equations

Sekson Sirisubtawee, Nattawut Khansai, Sanoe Koonprasert, Montri Torvattanabun

Abstract

In this paper, the modified simple equation method is used to obtain exact solutions of the space-time (1+1) and (2+1)-dimensional chiral nonlinear Schr ̈odinger’s equations in the sense of the conformable derivative. As a consequence, these obtained solutions with their constraint conditions can be useful to explain some physical phenomena such as dark or singular soliton solutions. Graphical representations of selected solutions are illustrated using a range of fractional orders. The performance of the method is concise, effective and reliable for solving nonlinear partial differential equations (NPDEs) including the NPDEs with conformable derivatives.