TY - JOUR
ID - 15881
TI - Exp-function Method and Reduction Transformations for Rogue Wave Solutions of the Davey-Stewartson Equations
JO - Journal of Applied and Computational Mechanics
JA - JACM
LA - en
SN -
AU - Zhang, Sheng
AU - Zhang, Yue
AU - Xu, Bo
AD - School of Mathematical Sciences, Bohai University, Jinzhou, 121013, China
AD - School of Mathematics, China University of Mining and Technology, Xuzhou, 221116, China
Y1 - 2021
PY - 2021
VL - 7
IS - 1
SP - 102
EP - 108
KW - Rouge wave solution
KW - Davey-Stewartson equations
KW - Spatial structure
KW - Spatiotemporal structure
KW - Dynamical evolution
DO - 10.22055/jacm.2020.34855.2484
N2 - 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.
UR - https://jacm.scu.ac.ir/article_15881.html
L1 - https://jacm.scu.ac.ir/article_15881_a2f4293a9c0fa6b4d7415cab60c28fec.pdf
ER -