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

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Zhang Sheng; ZHANG Yue; XU BO

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Journal: JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS Year:2021 | Volume:7 | Issue:1 Page(s): 102-108

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Title

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

Author(s)

Zhang Sheng | ZHANG Yue | XU BO | Issue Writer Certificate

Keywords

Rouge wave solution

Davey-Stewartson equations

Spatial structure

Spatiotemporal structure

Dynamical evolution

Abstract

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 Schrö dinger (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.

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APA: Copy

Zhang, Sheng, ZHANG, Yue, & XU, BO. (2021). Exp-function Method and Reduction Transformations for Rogue Wave Solutions of the Davey-Stewartson Equations. JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, 7(1), 102-108. SID. https://sid.ir/paper/978830/en

Vancouver: Copy

Zhang Sheng, ZHANG Yue, XU BO. Exp-function Method and Reduction Transformations for Rogue Wave Solutions of the Davey-Stewartson Equations. JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS[Internet]. 2021;7(1):102-108. Available from: https://sid.ir/paper/978830/en

IEEE: Copy

Sheng Zhang, Yue ZHANG, and BO XU, “Exp-function Method and Reduction Transformations for Rogue Wave Solutions of the Davey-Stewartson Equations,” JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, vol. 7, no. 1, pp. 102–108, 2021, [Online]. Available: https://sid.ir/paper/978830/en

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