Solitons, Bäcklund transformation and Lax pair for a (2+1)-dimensional Davey-Stewartson system on surface waves of finite depth

Under investigation in this paper is a (2+1)-dimensional Davey-Stewartson system, which describes the transformation of a wave-packet on water of finite depth. By virtue of the bell polynomials, bilinear form, Bäcklund transformation and Lax pair are got. One- and two-soliton solutions are obtained...

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Bibliographic Details
Published in:Waves in random and complex media 2018-04, Vol.28 (2), p.356-366
Main Authors: Zhao, Xue-Hui, Tian, Bo, Xie, Xi-Yang, Wu, Xiao-Yu, Sun, Yan, Guo, Yong-Jiang
Format: Article
Language:English
Subjects:
Combinatorial analysis
Polynomials
Solitary waves
Surface waves
Transformations
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Summary:Under investigation in this paper is a (2+1)-dimensional Davey-Stewartson system, which describes the transformation of a wave-packet on water of finite depth. By virtue of the bell polynomials, bilinear form, Bäcklund transformation and Lax pair are got. One- and two-soliton solutions are obtained via the symbolic computation and Hirota method. Velocity and amplitude of the one-soliton solutions are relevant with the wave number. Graphical analysis indicates that soliton shapes keep unchanged and maintain their original directions and amplitudes during the propagation. Elastic overtaking and head-on interactions between the two solitons are described.
ISSN:1745-5030
1745-5049
DOI:10.1080/17455030.2017.1348645