Exp-function Method and Reduction Transformations for Rogue Wave Solutions of the Davey-Stewartson Equations

A pair of rogue wave solutions of the DaveyStewartson (DS) equations are obtained by using the expfunction method and reduction transformations. Firstly, the DaveyStewartson equations are transformed into two easytosolve equations, one of which is the deformed nonlinear Schrödinger (NLS) equation and the other is a polynomial equation. Secondly, based on the existing known solutions of the deformed NLS equation constructed by the expfunction method, rogue wave solutions of the DS equations are obtained. Finally, some spatial and spatiotemporal structures and dynamical evolutionary plots of the obtained rogue wave solutions are shown.