%0 Journal Article
%T Exp-function Method and Reduction Transformations for Rogue Wave Solutions of the Davey-Stewartson Equations
%J Journal of Applied and Computational Mechanics
%I Shahid Chamran University of Ahvaz
%Z 2383-4536
%A Zhang, Sheng
%A Zhang, Yue
%A Xu, Bo
%D 2021
%\ 01/01/2021
%V 7
%N 1
%P 102-108
%! Exp-function Method and Reduction Transformations for Rogue Wave Solutions of the Davey-Stewartson Equations
%K Rouge wave solution
%K Davey-Stewartson equations
%K Spatial structure
%K Spatiotemporal structure
%K Dynamical evolution
%R 10.22055/jacm.2020.34855.2484
%X A 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.
%U https://jacm.scu.ac.ir/article_15881_a2f4293a9c0fa6b4d7415cab60c28fec.pdf