Painlevé analysis and exact solutions of the resonant Davey-Stewartson system

Z. F. Liang; X. Y. Tang

doi:10.1016/j.physleta.2009.10.041

Painlevé analysis and exact solutions of the resonant Davey-Stewartson system

Z. F. Liang
, X. Y. Tang^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

It is shown that the resonant Davey-Stewartson (RDS) system can pass the Painlev test. By truncating the Laurent series to a constant level term, a dependent variable transformation is naturally derived, which leads to the bilinear forms of the RDS system. From the bilinear equations, through making suitable assumptions, some new soliton solutions are obtained. Some representative profiles of the solitary waves are graphically displayed including the two-line soliton solution, "Y" soliton solution, "V" soliton solution, solitoff, etc. The solutions might be useful to describe the nonlinear phenomena in Madelung fluids, capillarity fluids, and so on.

Original language	English
Pages (from-to)	110-115
Number of pages	6
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	374
Issue number	2
DOIs	https://doi.org/10.1016/j.physleta.2009.10.041
State	Published - 28 Dec 2009
Externally published	Yes

Keywords

Painlevé test
Resonant Davey-Stewartson system
Soliton solution

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10.1016/j.physleta.2009.10.041

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title = "Painlev{\'e} analysis and exact solutions of the resonant Davey-Stewartson system",

abstract = "It is shown that the resonant Davey-Stewartson (RDS) system can pass the Painlev test. By truncating the Laurent series to a constant level term, a dependent variable transformation is naturally derived, which leads to the bilinear forms of the RDS system. From the bilinear equations, through making suitable assumptions, some new soliton solutions are obtained. Some representative profiles of the solitary waves are graphically displayed including the two-line soliton solution, {"}Y{"} soliton solution, {"}V{"} soliton solution, solitoff, etc. The solutions might be useful to describe the nonlinear phenomena in Madelung fluids, capillarity fluids, and so on.",

keywords = "Painlev{\'e} test, Resonant Davey-Stewartson system, Soliton solution",

author = "Liang, \{Z. F.\} and Tang, \{X. Y.\}",

year = "2009",

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T1 - Painlevé analysis and exact solutions of the resonant Davey-Stewartson system

AU - Liang, Z. F.

AU - Tang, X. Y.

PY - 2009/12/28

Y1 - 2009/12/28

N2 - It is shown that the resonant Davey-Stewartson (RDS) system can pass the Painlev test. By truncating the Laurent series to a constant level term, a dependent variable transformation is naturally derived, which leads to the bilinear forms of the RDS system. From the bilinear equations, through making suitable assumptions, some new soliton solutions are obtained. Some representative profiles of the solitary waves are graphically displayed including the two-line soliton solution, "Y" soliton solution, "V" soliton solution, solitoff, etc. The solutions might be useful to describe the nonlinear phenomena in Madelung fluids, capillarity fluids, and so on.

AB - It is shown that the resonant Davey-Stewartson (RDS) system can pass the Painlev test. By truncating the Laurent series to a constant level term, a dependent variable transformation is naturally derived, which leads to the bilinear forms of the RDS system. From the bilinear equations, through making suitable assumptions, some new soliton solutions are obtained. Some representative profiles of the solitary waves are graphically displayed including the two-line soliton solution, "Y" soliton solution, "V" soliton solution, solitoff, etc. The solutions might be useful to describe the nonlinear phenomena in Madelung fluids, capillarity fluids, and so on.

KW - Painlevé test

KW - Resonant Davey-Stewartson system

KW - Soliton solution

UR - https://www.scopus.com/pages/publications/71849106716

U2 - 10.1016/j.physleta.2009.10.041

DO - 10.1016/j.physleta.2009.10.041

M3 - 文章

AN - SCOPUS:71849106716

SN - 0375-9601

VL - 374

SP - 110

EP - 115

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 2

ER -

Painlevé analysis and exact solutions of the resonant Davey-Stewartson system

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Keywords

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