Title of article
Exp-function Method and Reduction Transformations for Rogue Wave Solutions of the Davey-Stewartson Equations
Author/Authors
Zhang ، Sheng School of Mathematical Sciences - Bohai University , Zhang ، Yue School of Mathematical Sciences - Bohai University , Xu ، Bo School of Mathematics - China University of Mining and Technology
From page
102
To page
108
Abstract
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.
Keywords
Rouge wave solution , Davey , Stewartson equations , Spatial structure , Spatiotemporal structure , Dynamical evolution
Journal title
Journal of Applied and Computational Mechanics
Journal title
Journal of Applied and Computational Mechanics
Record number
2544394
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