Shahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45367120210101Exp-function Method and Reduction Transformations for Rogue Wave Solutions of the Davey-Stewartson Equations1021081588110.22055/jacm.2020.34855.2484ENShengZhangSchool of Mathematical Sciences, Bohai University, Jinzhou, 121013, Chinaorcid.org/0000-0002-4631-7033YueZhangSchool of Mathematical Sciences, Bohai University, Jinzhou, 121013, China0000-0002-4546-6782BoXuSchool of Mathematics, China University of Mining and Technology, Xuzhou, 221116, ChinaSchool of Educational Sciences, Bohai University, Jinzhou, 121013, China0000-0002-7956-4882Journal Article20200831A pair of rogue wave solutions of the Davey-Stewartson (DS) equations are obtained by using the exp-function method and reduction transformations. Firstly, the Davey-Stewartson equations are transformed into two easy-to-solve 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 exp-function 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.https://jacm.scu.ac.ir/article_15881_a2f4293a9c0fa6b4d7415cab60c28fec.pdf