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

被引：13

作者：

Liang, Z. F. ^{[2
]}

Tang, X. Y. ^{[1
,3
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200240, Peoples R China

[2] Hangzhou Normal Univ, Dept Phys, Hangzhou 310036, Zhejiang, Peoples R China

[3] Abdus Salam Int Ctr Theoret Phys, I-34100 Trieste, Italy

来源：

PHYSICS LETTERS A | 2009年 / 374卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Resonant Davey-Stewartson system; Painleve test; Soliton solution; NONLINEAR SCHRODINGER-EQUATION; VARIABLE SEPARATION APPROACH; EXCITATIONS; SOLITONS;

D O I：

10.1016/j.physleta.2009.10.041

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：110 / 115

页数：6

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